Finding the Third Proportional to 83,596,216 and 181,142,766

Step by Step Solution

1. Step 1: Write the proportion equation
   83,596,216 : 181,142,766 = 181,142,766 : x
2. Step 2: Convert to fraction form
   83,596,216/181,142,766 = 181,142,766/x
3. Step 3: Cross multiply
   83,596,216x = 181,142,766 × 181,142,766
4. Step 4: Simplify right side
   83,596,216x = 32,812,701,674,130,756
5. Step 5: Solve for x
   x = 32,812,701,674,130,756/83,596,216
6. Step 6: Final answer
   x = 392,514,197.94