Finding the Third Proportional to 73,892 and 114,650

Step by Step Solution

1. Step 1: Write the proportion equation
   73,892 : 114,650 = 114,650 : x
2. Step 2: Convert to fraction form
   73,892/114,650 = 114,650/x
3. Step 3: Cross multiply
   73,892x = 114,650 × 114,650
4. Step 4: Simplify right side
   73,892x = 13,144,622,500
5. Step 5: Solve for x
   x = 13,144,622,500/73,892
6. Step 6: Final answer
   x = 177,889.66