Finding the Third Proportional to 58,261 and 89,518

Step by Step Solution

1. Step 1: Write the proportion equation
   58,261 : 89,518 = 89,518 : x
2. Step 2: Convert to fraction form
   58,261/89,518 = 89,518/x
3. Step 3: Cross multiply
   58,261x = 89,518 × 89,518
4. Step 4: Simplify right side
   58,261x = 8,013,472,324
5. Step 5: Solve for x
   x = 8,013,472,324/58,261
6. Step 6: Final answer
   x = 137,544.37