Finding the Third Proportional to 58,180 and 89,538

Step by Step Solution

1. Step 1: Write the proportion equation
   58,180 : 89,538 = 89,538 : x
2. Step 2: Convert to fraction form
   58,180/89,538 = 89,538/x
3. Step 3: Cross multiply
   58,180x = 89,538 × 89,538
4. Step 4: Simplify right side
   58,180x = 8,017,053,444
5. Step 5: Solve for x
   x = 8,017,053,444/58,180
6. Step 6: Final answer
   x = 137,797.41