Finding the Third Proportional to 78,614 and 111,128

Step by Step Solution

1. Step 1: Write the proportion equation
   78,614 : 111,128 = 111,128 : x
2. Step 2: Convert to fraction form
   78,614/111,128 = 111,128/x
3. Step 3: Cross multiply
   78,614x = 111,128 × 111,128
4. Step 4: Simplify right side
   78,614x = 12,349,432,384
5. Step 5: Solve for x
   x = 12,349,432,384/78,614
6. Step 6: Final answer
   x = 157,089.48