Finding the Third Proportional to 77,981 and 111,139.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,981 : 111,139.50 = 111,139.50 : x
2. Step 2: Convert to fraction form
   77,981/111,139.50 = 111,139.50/x
3. Step 3: Cross multiply
   77,981x = 111,139.50 × 111,139.50
4. Step 4: Simplify right side
   77,981x = 12,351,988,460.25
5. Step 5: Solve for x
   x = 12,351,988,460.25/77,981
6. Step 6: Final answer
   x = 158,397.41