Finding the Third Proportional to 59,460 and 117,416

Step by Step Solution

1. Step 1: Write the proportion equation
   59,460 : 117,416 = 117,416 : x
2. Step 2: Convert to fraction form
   59,460/117,416 = 117,416/x
3. Step 3: Cross multiply
   59,460x = 117,416 × 117,416
4. Step 4: Simplify right side
   59,460x = 13,786,517,056
5. Step 5: Solve for x
   x = 13,786,517,056/59,460
6. Step 6: Final answer
   x = 231,862.04