Finding the Third Proportional to 287,833.50 and 402,610.50

Step by Step Solution

1. Step 1: Write the proportion equation
   287,833.50 : 402,610.50 = 402,610.50 : x
2. Step 2: Convert to fraction form
   287,833.50/402,610.50 = 402,610.50/x
3. Step 3: Cross multiply
   287,833.50x = 402,610.50 × 402,610.50
4. Step 4: Simplify right side
   287,833.50x = 162,095,214,710.25
5. Step 5: Solve for x
   x = 162,095,214,710.25/287,833.50
6. Step 6: Final answer
   x = 563,156.18