Finding the Third Proportional to 42,138 and 90,524

Step by Step Solution

1. Step 1: Write the proportion equation
   42,138 : 90,524 = 90,524 : x
2. Step 2: Convert to fraction form
   42,138/90,524 = 90,524/x
3. Step 3: Cross multiply
   42,138x = 90,524 × 90,524
4. Step 4: Simplify right side
   42,138x = 8,194,594,576
5. Step 5: Solve for x
   x = 8,194,594,576/42,138
6. Step 6: Final answer
   x = 194,470.42