Finding the Third Proportional to 82,083 and 123,591

Step by Step Solution

1. Step 1: Write the proportion equation
   82,083 : 123,591 = 123,591 : x
2. Step 2: Convert to fraction form
   82,083/123,591 = 123,591/x
3. Step 3: Cross multiply
   82,083x = 123,591 × 123,591
4. Step 4: Simplify right side
   82,083x = 15,274,735,281
5. Step 5: Solve for x
   x = 15,274,735,281/82,083
6. Step 6: Final answer
   x = 186,088.90