Finding the Third Proportional to 78,399.25 and 117,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,399.25 : 117,775.50 = 117,775.50 : x
2. Step 2: Convert to fraction form
   78,399.25/117,775.50 = 117,775.50/x
3. Step 3: Cross multiply
   78,399.25x = 117,775.50 × 117,775.50
4. Step 4: Simplify right side
   78,399.25x = 13,871,068,400.25
5. Step 5: Solve for x
   x = 13,871,068,400.25/78,399.25
6. Step 6: Final answer
   x = 176,928.59