Finding the Third Proportional to 282,757.50 and 371,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   282,757.50 : 371,641.50 = 371,641.50 : x
2. Step 2: Convert to fraction form
   282,757.50/371,641.50 = 371,641.50/x
3. Step 3: Cross multiply
   282,757.50x = 371,641.50 × 371,641.50
4. Step 4: Simplify right side
   282,757.50x = 138,117,404,522.25
5. Step 5: Solve for x
   x = 138,117,404,522.25/282,757.50
6. Step 6: Final answer
   x = 488,465.93