Finding the Third Proportional to 127,132.50 and 282,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   127,132.50 : 282,145.50 = 282,145.50 : x
2. Step 2: Convert to fraction form
   127,132.50/282,145.50 = 282,145.50/x
3. Step 3: Cross multiply
   127,132.50x = 282,145.50 × 282,145.50
4. Step 4: Simplify right side
   127,132.50x = 79,606,083,170.25
5. Step 5: Solve for x
   x = 79,606,083,170.25/127,132.50
6. Step 6: Final answer
   x = 626,166.27