Finding the Third Proportional to 48,513 and 106,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,513 : 106,042.50 = 106,042.50 : x
2. Step 2: Convert to fraction form
   48,513/106,042.50 = 106,042.50/x
3. Step 3: Cross multiply
   48,513x = 106,042.50 × 106,042.50
4. Step 4: Simplify right side
   48,513x = 11,245,011,806.25
5. Step 5: Solve for x
   x = 11,245,011,806.25/48,513
6. Step 6: Final answer
   x = 231,793.78