Finding the Third Proportional to 78,025.50 and 117,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,025.50 : 117,727.50 = 117,727.50 : x
2. Step 2: Convert to fraction form
   78,025.50/117,727.50 = 117,727.50/x
3. Step 3: Cross multiply
   78,025.50x = 117,727.50 × 117,727.50
4. Step 4: Simplify right side
   78,025.50x = 13,859,764,256.25
5. Step 5: Solve for x
   x = 13,859,764,256.25/78,025.50
6. Step 6: Final answer
   x = 177,631.21