Finding the Third Proportional to 48,542 and 103,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,542 : 103,832.50 = 103,832.50 : x
2. Step 2: Convert to fraction form
   48,542/103,832.50 = 103,832.50/x
3. Step 3: Cross multiply
   48,542x = 103,832.50 × 103,832.50
4. Step 4: Simplify right side
   48,542x = 10,781,188,056.25
5. Step 5: Solve for x
   x = 10,781,188,056.25/48,542
6. Step 6: Final answer
   x = 222,100.20