Finding the Third Proportional to 51,949 and 112,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,949 : 112,200.50 = 112,200.50 : x
2. Step 2: Convert to fraction form
   51,949/112,200.50 = 112,200.50/x
3. Step 3: Cross multiply
   51,949x = 112,200.50 × 112,200.50
4. Step 4: Simplify right side
   51,949x = 12,588,952,200.25
5. Step 5: Solve for x
   x = 12,588,952,200.25/51,949
6. Step 6: Final answer
   x = 242,332.91