Finding the Third Proportional to 57,494 and 89,738

Step by Step Solution

1. Step 1: Write the proportion equation
   57,494 : 89,738 = 89,738 : x
2. Step 2: Convert to fraction form
   57,494/89,738 = 89,738/x
3. Step 3: Cross multiply
   57,494x = 89,738 × 89,738
4. Step 4: Simplify right side
   57,494x = 8,052,908,644
5. Step 5: Solve for x
   x = 8,052,908,644/57,494
6. Step 6: Final answer
   x = 140,065.20