Finding the Third Proportional to 51,134 and 111,565

Step by Step Solution

1. Step 1: Write the proportion equation
   51,134 : 111,565 = 111,565 : x
2. Step 2: Convert to fraction form
   51,134/111,565 = 111,565/x
3. Step 3: Cross multiply
   51,134x = 111,565 × 111,565
4. Step 4: Simplify right side
   51,134x = 12,446,749,225
5. Step 5: Solve for x
   x = 12,446,749,225/51,134
6. Step 6: Final answer
   x = 243,414.35