Finding the Third Proportional to 287,193.50 and 402,454

Step by Step Solution

1. Step 1: Write the proportion equation
   287,193.50 : 402,454 = 402,454 : x
2. Step 2: Convert to fraction form
   287,193.50/402,454 = 402,454/x
3. Step 3: Cross multiply
   287,193.50x = 402,454 × 402,454
4. Step 4: Simplify right side
   287,193.50x = 161,969,222,116
5. Step 5: Solve for x
   x = 161,969,222,116/287,193.50
6. Step 6: Final answer
   x = 563,972.45