Finding the Third Proportional to 82,238.50 and 123,024.25

Step by Step Solution

1. Step 1: Write the proportion equation
   82,238.50 : 123,024.25 = 123,024.25 : x
2. Step 2: Convert to fraction form
   82,238.50/123,024.25 = 123,024.25/x
3. Step 3: Cross multiply
   82,238.50x = 123,024.25 × 123,024.25
4. Step 4: Simplify right side
   82,238.50x = 15,134,966,088.06
5. Step 5: Solve for x
   x = 15,134,966,088.06/82,238.50
6. Step 6: Final answer
   x = 184,037.48