Finding the Third Proportional to 48,142.50 and 99,352.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,142.50 : 99,352.50 = 99,352.50 : x
2. Step 2: Convert to fraction form
   48,142.50/99,352.50 = 99,352.50/x
3. Step 3: Cross multiply
   48,142.50x = 99,352.50 × 99,352.50
4. Step 4: Simplify right side
   48,142.50x = 9,870,919,256.25
5. Step 5: Solve for x
   x = 9,870,919,256.25/48,142.50
6. Step 6: Final answer
   x = 205,035.45