Finding the Third Proportional to 402,041 and 546,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   402,041 : 546,007.50 = 546,007.50 : x
2. Step 2: Convert to fraction form
   402,041/546,007.50 = 546,007.50/x
3. Step 3: Cross multiply
   402,041x = 546,007.50 × 546,007.50
4. Step 4: Simplify right side
   402,041x = 298,124,190,056.25
5. Step 5: Solve for x
   x = 298,124,190,056.25/402,041
6. Step 6: Final answer
   x = 741,526.83