Finding the Third Proportional to 85,538 and 141,520

Step by Step Solution

1. Step 1: Write the proportion equation
   85,538 : 141,520 = 141,520 : x
2. Step 2: Convert to fraction form
   85,538/141,520 = 141,520/x
3. Step 3: Cross multiply
   85,538x = 141,520 × 141,520
4. Step 4: Simplify right side
   85,538x = 20,027,910,400
5. Step 5: Solve for x
   x = 20,027,910,400/85,538
6. Step 6: Final answer
   x = 234,140.50