Finding the Third Proportional to 402,840 and 545,170.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,840 : 545,170.50 = 545,170.50 : x
2. Step 2: Convert to fraction form
   402,840/545,170.50 = 545,170.50/x
3. Step 3: Cross multiply
   402,840x = 545,170.50 × 545,170.50
4. Step 4: Simplify right side
   402,840x = 297,210,874,070.25
5. Step 5: Solve for x
   x = 297,210,874,070.25/402,840
6. Step 6: Final answer
   x = 737,788.88