Finding the Third Proportional to 462,594 and 725,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   462,594 : 725,839.50 = 725,839.50 : x
2. Step 2: Convert to fraction form
   462,594/725,839.50 = 725,839.50/x
3. Step 3: Cross multiply
   462,594x = 725,839.50 × 725,839.50
4. Step 4: Simplify right side
   462,594x = 526,842,979,760.25
5. Step 5: Solve for x
   x = 526,842,979,760.25/462,594
6. Step 6: Final answer
   x = 1,138,888.48