Finding the Third Proportional to 82,108 and 123,758

Step by Step Solution

1. Step 1: Write the proportion equation
   82,108 : 123,758 = 123,758 : x
2. Step 2: Convert to fraction form
   82,108/123,758 = 123,758/x
3. Step 3: Cross multiply
   82,108x = 123,758 × 123,758
4. Step 4: Simplify right side
   82,108x = 15,316,042,564
5. Step 5: Solve for x
   x = 15,316,042,564/82,108
6. Step 6: Final answer
   x = 186,535.33