Finding the Third Proportional to 509,404,540.50 and 764,645,979

Step by Step Solution

1. Step 1: Write the proportion equation
   509,404,540.50 : 764,645,979 = 764,645,979 : x
2. Step 2: Convert to fraction form
   509,404,540.50/764,645,979 = 764,645,979/x
3. Step 3: Cross multiply
   509,404,540.50x = 764,645,979 × 764,645,979
4. Step 4: Simplify right side
   509,404,540.50x = 584,683,473,200,868,480
5. Step 5: Solve for x
   x = 584,683,473,200,868,480/509,404,540.50
6. Step 6: Final answer
   x = 1,147,778,291.55