Finding the Third Proportional to 51,064 and 109,142

Step by Step Solution

1. Step 1: Write the proportion equation
   51,064 : 109,142 = 109,142 : x
2. Step 2: Convert to fraction form
   51,064/109,142 = 109,142/x
3. Step 3: Cross multiply
   51,064x = 109,142 × 109,142
4. Step 4: Simplify right side
   51,064x = 11,911,976,164
5. Step 5: Solve for x
   x = 11,911,976,164/51,064
6. Step 6: Final answer
   x = 233,275.42