Finding the Third Proportional to 82,984.50 and 124,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,984.50 : 124,537.50 = 124,537.50 : x
2. Step 2: Convert to fraction form
   82,984.50/124,537.50 = 124,537.50/x
3. Step 3: Cross multiply
   82,984.50x = 124,537.50 × 124,537.50
4. Step 4: Simplify right side
   82,984.50x = 15,509,588,906.25
5. Step 5: Solve for x
   x = 15,509,588,906.25/82,984.50
6. Step 6: Final answer
   x = 186,897.42