Finding the Third Proportional to 77,758.50 and 116,614.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,758.50 : 116,614.50 = 116,614.50 : x
2. Step 2: Convert to fraction form
   77,758.50/116,614.50 = 116,614.50/x
3. Step 3: Cross multiply
   77,758.50x = 116,614.50 × 116,614.50
4. Step 4: Simplify right side
   77,758.50x = 13,598,941,610.25
5. Step 5: Solve for x
   x = 13,598,941,610.25/77,758.50
6. Step 6: Final answer
   x = 174,886.88