Finding the Third Proportional to 82,088 and 123,599

Step by Step Solution

1. Step 1: Write the proportion equation
   82,088 : 123,599 = 123,599 : x
2. Step 2: Convert to fraction form
   82,088/123,599 = 123,599/x
3. Step 3: Cross multiply
   82,088x = 123,599 × 123,599
4. Step 4: Simplify right side
   82,088x = 15,276,712,801
5. Step 5: Solve for x
   x = 15,276,712,801/82,088
6. Step 6: Final answer
   x = 186,101.66