Finding the Third Proportional to 77,599 and 123,981

Step by Step Solution

1. Step 1: Write the proportion equation
   77,599 : 123,981 = 123,981 : x
2. Step 2: Convert to fraction form
   77,599/123,981 = 123,981/x
3. Step 3: Cross multiply
   77,599x = 123,981 × 123,981
4. Step 4: Simplify right side
   77,599x = 15,371,288,361
5. Step 5: Solve for x
   x = 15,371,288,361/77,599
6. Step 6: Final answer
   x = 198,086.17