Finding the Third Proportional to 414,787.50 and 659,541

Step by Step Solution

1. Step 1: Write the proportion equation
   414,787.50 : 659,541 = 659,541 : x
2. Step 2: Convert to fraction form
   414,787.50/659,541 = 659,541/x
3. Step 3: Cross multiply
   414,787.50x = 659,541 × 659,541
4. Step 4: Simplify right side
   414,787.50x = 434,994,330,681
5. Step 5: Solve for x
   x = 434,994,330,681/414,787.50
6. Step 6: Final answer
   x = 1,048,716.10