Finding the Third Proportional to 77,976 and 123,961.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,976 : 123,961.50 = 123,961.50 : x
2. Step 2: Convert to fraction form
   77,976/123,961.50 = 123,961.50/x
3. Step 3: Cross multiply
   77,976x = 123,961.50 × 123,961.50
4. Step 4: Simplify right side
   77,976x = 15,366,453,482.25
5. Step 5: Solve for x
   x = 15,366,453,482.25/77,976
6. Step 6: Final answer
   x = 197,066.45