Finding the Third Proportional to 402,281 and 596,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,281 : 596,457.50 = 596,457.50 : x
2. Step 2: Convert to fraction form
   402,281/596,457.50 = 596,457.50/x
3. Step 3: Cross multiply
   402,281x = 596,457.50 × 596,457.50
4. Step 4: Simplify right side
   402,281x = 355,761,549,306.25
5. Step 5: Solve for x
   x = 355,761,549,306.25/402,281
6. Step 6: Final answer
   x = 884,360.81