Finding the Third Proportional to 90,514 and 197,084

Step by Step Solution

1. Step 1: Write the proportion equation
   90,514 : 197,084 = 197,084 : x
2. Step 2: Convert to fraction form
   90,514/197,084 = 197,084/x
3. Step 3: Cross multiply
   90,514x = 197,084 × 197,084
4. Step 4: Simplify right side
   90,514x = 38,842,103,056
5. Step 5: Solve for x
   x = 38,842,103,056/90,514
6. Step 6: Final answer
   x = 429,128.12