Finding the Third Proportional to 691,323,976 and 1,010,739,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   691,323,976 : 1,010,739,817.50 = 1,010,739,817.50 : x
2. Step 2: Convert to fraction form
   691,323,976/1,010,739,817.50 = 1,010,739,817.50/x
3. Step 3: Cross multiply
   691,323,976x = 1,010,739,817.50 × 1,010,739,817.50
4. Step 4: Simplify right side
   691,323,976x = 1,021,594,978,679,933,312
5. Step 5: Solve for x
   x = 1,021,594,978,679,933,312/691,323,976
6. Step 6: Final answer
   x = 1,477,736,942.66