Finding the Third Proportional to 51,156 and 109,416

Step by Step Solution

1. Step 1: Write the proportion equation
   51,156 : 109,416 = 109,416 : x
2. Step 2: Convert to fraction form
   51,156/109,416 = 109,416/x
3. Step 3: Cross multiply
   51,156x = 109,416 × 109,416
4. Step 4: Simplify right side
   51,156x = 11,971,861,056
5. Step 5: Solve for x
   x = 11,971,861,056/51,156
6. Step 6: Final answer
   x = 234,026.53