Finding the Third Proportional to 77,763.75 and 123,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,763.75 : 123,796.50 = 123,796.50 : x
2. Step 2: Convert to fraction form
   77,763.75/123,796.50 = 123,796.50/x
3. Step 3: Cross multiply
   77,763.75x = 123,796.50 × 123,796.50
4. Step 4: Simplify right side
   77,763.75x = 15,325,573,412.25
5. Step 5: Solve for x
   x = 15,325,573,412.25/77,763.75
6. Step 6: Final answer
   x = 197,078.63