Finding the Third Proportional to 78,612.75 and 174,640.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,612.75 : 174,640.50 = 174,640.50 : x
2. Step 2: Convert to fraction form
   78,612.75/174,640.50 = 174,640.50/x
3. Step 3: Cross multiply
   78,612.75x = 174,640.50 × 174,640.50
4. Step 4: Simplify right side
   78,612.75x = 30,499,304,240.25
5. Step 5: Solve for x
   x = 30,499,304,240.25/78,612.75
6. Step 6: Final answer
   x = 387,968.93