Finding the Third Proportional to 82,502 and 123,537

Step by Step Solution

1. Step 1: Write the proportion equation
   82,502 : 123,537 = 123,537 : x
2. Step 2: Convert to fraction form
   82,502/123,537 = 123,537/x
3. Step 3: Cross multiply
   82,502x = 123,537 × 123,537
4. Step 4: Simplify right side
   82,502x = 15,261,390,369
5. Step 5: Solve for x
   x = 15,261,390,369/82,502
6. Step 6: Final answer
   x = 184,982.07