Finding the Third Proportional to 77,977.50 and 123,965

Step by Step Solution

1. Step 1: Write the proportion equation
   77,977.50 : 123,965 = 123,965 : x
2. Step 2: Convert to fraction form
   77,977.50/123,965 = 123,965/x
3. Step 3: Cross multiply
   77,977.50x = 123,965 × 123,965
4. Step 4: Simplify right side
   77,977.50x = 15,367,321,225
5. Step 5: Solve for x
   x = 15,367,321,225/77,977.50
6. Step 6: Final answer
   x = 197,073.79