Finding the Third Proportional to 77,514.75 and 116,273.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,514.75 : 116,273.25 = 116,273.25 : x
2. Step 2: Convert to fraction form
   77,514.75/116,273.25 = 116,273.25/x
3. Step 3: Cross multiply
   77,514.75x = 116,273.25 × 116,273.25
4. Step 4: Simplify right side
   77,514.75x = 13,519,468,665.56
5. Step 5: Solve for x
   x = 13,519,468,665.56/77,514.75
6. Step 6: Final answer
   x = 174,411.56