Finding the Third Proportional to 78,286.88 and 174,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,286.88 : 174,502.50 = 174,502.50 : x
2. Step 2: Convert to fraction form
   78,286.88/174,502.50 = 174,502.50/x
3. Step 3: Cross multiply
   78,286.88x = 174,502.50 × 174,502.50
4. Step 4: Simplify right side
   78,286.88x = 30,451,122,506.25
5. Step 5: Solve for x
   x = 30,451,122,506.25/78,286.88
6. Step 6: Final answer
   x = 388,968.43