Finding the Third Proportional to 71,738.50 and 157,112.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,738.50 : 157,112.50 = 157,112.50 : x
2. Step 2: Convert to fraction form
   71,738.50/157,112.50 = 157,112.50/x
3. Step 3: Cross multiply
   71,738.50x = 157,112.50 × 157,112.50
4. Step 4: Simplify right side
   71,738.50x = 24,684,337,656.25
5. Step 5: Solve for x
   x = 24,684,337,656.25/71,738.50
6. Step 6: Final answer
   x = 344,087.73