Finding the Third Proportional to 78,375 and 124,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,375 : 124,554.50 = 124,554.50 : x
2. Step 2: Convert to fraction form
   78,375/124,554.50 = 124,554.50/x
3. Step 3: Cross multiply
   78,375x = 124,554.50 × 124,554.50
4. Step 4: Simplify right side
   78,375x = 15,513,823,470.25
5. Step 5: Solve for x
   x = 15,513,823,470.25/78,375
6. Step 6: Final answer
   x = 197,943.52