Finding the Third Proportional to 760,724,233,042 and 1,658,136,095,036

Step by Step Solution

1. Step 1: Write the proportion equation
   760,724,233,042 : 1,658,136,095,036 = 1,658,136,095,036 : x
2. Step 2: Convert to fraction form
   760,724,233,042/1,658,136,095,036 = 1,658,136,095,036/x
3. Step 3: Cross multiply
   760,724,233,042x = 1,658,136,095,036 × 1,658,136,095,036
4. Step 4: Simplify right side
   760,724,233,042x = 2,749,415,309,661,234,998,018,048
5. Step 5: Solve for x
   x = 2,749,415,309,661,234,998,018,048/760,724,233,042
6. Step 6: Final answer
   x = 3,614,207,606,699.76