Finding the Third Proportional to 77,557.50 and 114,054.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,557.50 : 114,054.75 = 114,054.75 : x
2. Step 2: Convert to fraction form
   77,557.50/114,054.75 = 114,054.75/x
3. Step 3: Cross multiply
   77,557.50x = 114,054.75 × 114,054.75
4. Step 4: Simplify right side
   77,557.50x = 13,008,485,997.56
5. Step 5: Solve for x
   x = 13,008,485,997.56/77,557.50
6. Step 6: Final answer
   x = 167,726.99