Finding the Third Proportional to 42,015 and 90,402

Step by Step Solution

1. Step 1: Write the proportion equation
   42,015 : 90,402 = 90,402 : x
2. Step 2: Convert to fraction form
   42,015/90,402 = 90,402/x
3. Step 3: Cross multiply
   42,015x = 90,402 × 90,402
4. Step 4: Simplify right side
   42,015x = 8,172,521,604
5. Step 5: Solve for x
   x = 8,172,521,604/42,015
6. Step 6: Final answer
   x = 194,514.38