Finding the Third Proportional to 509,404,544 and 764,645,984

Step by Step Solution

1. Step 1: Write the proportion equation
   509,404,544 : 764,645,984 = 764,645,984 : x
2. Step 2: Convert to fraction form
   509,404,544/764,645,984 = 764,645,984/x
3. Step 3: Cross multiply
   509,404,544x = 764,645,984 × 764,645,984
4. Step 4: Simplify right side
   509,404,544x = 584,683,480,847,328,256
5. Step 5: Solve for x
   x = 584,683,480,847,328,256/509,404,544
6. Step 6: Final answer
   x = 1,147,778,298.67