Finding the Third Proportional to 71,952 and 113,850

Step by Step Solution

1. Step 1: Write the proportion equation
   71,952 : 113,850 = 113,850 : x
2. Step 2: Convert to fraction form
   71,952/113,850 = 113,850/x
3. Step 3: Cross multiply
   71,952x = 113,850 × 113,850
4. Step 4: Simplify right side
   71,952x = 12,961,822,500
5. Step 5: Solve for x
   x = 12,961,822,500/71,952
6. Step 6: Final answer
   x = 180,145.41