Finding the Third Proportional to 90,080 and 208,514

Step by Step Solution

1. Step 1: Write the proportion equation
   90,080 : 208,514 = 208,514 : x
2. Step 2: Convert to fraction form
   90,080/208,514 = 208,514/x
3. Step 3: Cross multiply
   90,080x = 208,514 × 208,514
4. Step 4: Simplify right side
   90,080x = 43,478,088,196
5. Step 5: Solve for x
   x = 43,478,088,196/90,080
6. Step 6: Final answer
   x = 482,660.84