Finding the Third Proportional to 53,138.50 and 112,275

Step by Step Solution

1. Step 1: Write the proportion equation
   53,138.50 : 112,275 = 112,275 : x
2. Step 2: Convert to fraction form
   53,138.50/112,275 = 112,275/x
3. Step 3: Cross multiply
   53,138.50x = 112,275 × 112,275
4. Step 4: Simplify right side
   53,138.50x = 12,605,675,625
5. Step 5: Solve for x
   x = 12,605,675,625/53,138.50
6. Step 6: Final answer
   x = 237,223.02