Finding the Third Proportional to 82,250 and 123,982

Step by Step Solution

1. Step 1: Write the proportion equation
   82,250 : 123,982 = 123,982 : x
2. Step 2: Convert to fraction form
   82,250/123,982 = 123,982/x
3. Step 3: Cross multiply
   82,250x = 123,982 × 123,982
4. Step 4: Simplify right side
   82,250x = 15,371,536,324
5. Step 5: Solve for x
   x = 15,371,536,324/82,250
6. Step 6: Final answer
   x = 186,887.98