Finding the Third Proportional to 89,116 and 125,384

Step by Step Solution

1. Step 1: Write the proportion equation
   89,116 : 125,384 = 125,384 : x
2. Step 2: Convert to fraction form
   89,116/125,384 = 125,384/x
3. Step 3: Cross multiply
   89,116x = 125,384 × 125,384
4. Step 4: Simplify right side
   89,116x = 15,721,147,456
5. Step 5: Solve for x
   x = 15,721,147,456/89,116
6. Step 6: Final answer
   x = 176,412.18