Finding the Third Proportional to 322,060 and 464,514

Step by Step Solution

1. Step 1: Write the proportion equation
   322,060 : 464,514 = 464,514 : x
2. Step 2: Convert to fraction form
   322,060/464,514 = 464,514/x
3. Step 3: Cross multiply
   322,060x = 464,514 × 464,514
4. Step 4: Simplify right side
   322,060x = 215,773,256,196
5. Step 5: Solve for x
   x = 215,773,256,196/322,060
6. Step 6: Final answer
   x = 669,978.44