Finding the Third Proportional to 42,341 and 90,514

Step by Step Solution

1. Step 1: Write the proportion equation
   42,341 : 90,514 = 90,514 : x
2. Step 2: Convert to fraction form
   42,341/90,514 = 90,514/x
3. Step 3: Cross multiply
   42,341x = 90,514 × 90,514
4. Step 4: Simplify right side
   42,341x = 8,192,784,196
5. Step 5: Solve for x
   x = 8,192,784,196/42,341
6. Step 6: Final answer
   x = 193,495.29