Finding the Third Proportional to 86,404 and 206,074

Step by Step Solution

1. Step 1: Write the proportion equation
   86,404 : 206,074 = 206,074 : x
2. Step 2: Convert to fraction form
   86,404/206,074 = 206,074/x
3. Step 3: Cross multiply
   86,404x = 206,074 × 206,074
4. Step 4: Simplify right side
   86,404x = 42,466,493,476
5. Step 5: Solve for x
   x = 42,466,493,476/86,404
6. Step 6: Final answer
   x = 491,487.59