Finding the Third Proportional to 77,708.25 and 116,082.56

Step by Step Solution

1. Step 1: Write the proportion equation
   77,708.25 : 116,082.56 = 116,082.56 : x
2. Step 2: Convert to fraction form
   77,708.25/116,082.56 = 116,082.56/x
3. Step 3: Cross multiply
   77,708.25x = 116,082.56 × 116,082.56
4. Step 4: Simplify right side
   77,708.25x = 13,475,161,316.57
5. Step 5: Solve for x
   x = 13,475,161,316.57/77,708.25
6. Step 6: Final answer
   x = 173,407.09