Finding the Third Proportional to 65,092 and 141,416

Step by Step Solution

1. Step 1: Write the proportion equation
   65,092 : 141,416 = 141,416 : x
2. Step 2: Convert to fraction form
   65,092/141,416 = 141,416/x
3. Step 3: Cross multiply
   65,092x = 141,416 × 141,416
4. Step 4: Simplify right side
   65,092x = 19,998,485,056
5. Step 5: Solve for x
   x = 19,998,485,056/65,092
6. Step 6: Final answer
   x = 307,234.15