Finding the Third Proportional to 42,338 and 90,505

Step by Step Solution

1. Step 1: Write the proportion equation
   42,338 : 90,505 = 90,505 : x
2. Step 2: Convert to fraction form
   42,338/90,505 = 90,505/x
3. Step 3: Cross multiply
   42,338x = 90,505 × 90,505
4. Step 4: Simplify right side
   42,338x = 8,191,155,025
5. Step 5: Solve for x
   x = 8,191,155,025/42,338
6. Step 6: Final answer
   x = 193,470.52