Finding the Third Proportional to 42,023 and 90,418

Step by Step Solution

1. Step 1: Write the proportion equation
   42,023 : 90,418 = 90,418 : x
2. Step 2: Convert to fraction form
   42,023/90,418 = 90,418/x
3. Step 3: Cross multiply
   42,023x = 90,418 × 90,418
4. Step 4: Simplify right side
   42,023x = 8,175,414,724
5. Step 5: Solve for x
   x = 8,175,414,724/42,023
6. Step 6: Final answer
   x = 194,546.19