Finding the Third Proportional to 49,348 and 108,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,348 : 108,537.50 = 108,537.50 : x
2. Step 2: Convert to fraction form
   49,348/108,537.50 = 108,537.50/x
3. Step 3: Cross multiply
   49,348x = 108,537.50 × 108,537.50
4. Step 4: Simplify right side
   49,348x = 11,780,388,906.25
5. Step 5: Solve for x
   x = 11,780,388,906.25/49,348
6. Step 6: Final answer
   x = 238,720.70