Finding the Third Proportional to 520,114,635 and 784,580,942.25

Step by Step Solution

1. Step 1: Write the proportion equation
   520,114,635 : 784,580,942.25 = 784,580,942.25 : x
2. Step 2: Convert to fraction form
   520,114,635/784,580,942.25 = 784,580,942.25/x
3. Step 3: Cross multiply
   520,114,635x = 784,580,942.25 × 784,580,942.25
4. Step 4: Simplify right side
   520,114,635x = 615,567,254,941,897,856
5. Step 5: Solve for x
   x = 615,567,254,941,897,856/520,114,635
6. Step 6: Final answer
   x = 1,183,522,272.82