Finding the Third Proportional to 77,727.75 and 116,592

Step by Step Solution

1. Step 1: Write the proportion equation
   77,727.75 : 116,592 = 116,592 : x
2. Step 2: Convert to fraction form
   77,727.75/116,592 = 116,592/x
3. Step 3: Cross multiply
   77,727.75x = 116,592 × 116,592
4. Step 4: Simplify right side
   77,727.75x = 13,593,694,464
5. Step 5: Solve for x
   x = 13,593,694,464/77,727.75
6. Step 6: Final answer
   x = 174,888.56