Finding the Third Proportional to 215,514 and 458,298

Step by Step Solution

1. Step 1: Write the proportion equation
   215,514 : 458,298 = 458,298 : x
2. Step 2: Convert to fraction form
   215,514/458,298 = 458,298/x
3. Step 3: Cross multiply
   215,514x = 458,298 × 458,298
4. Step 4: Simplify right side
   215,514x = 210,037,056,804
5. Step 5: Solve for x
   x = 210,037,056,804/215,514
6. Step 6: Final answer
   x = 974,586.60