Finding the Third Proportional to 213,494 and 464,572

Step by Step Solution

1. Step 1: Write the proportion equation
   213,494 : 464,572 = 464,572 : x
2. Step 2: Convert to fraction form
   213,494/464,572 = 464,572/x
3. Step 3: Cross multiply
   213,494x = 464,572 × 464,572
4. Step 4: Simplify right side
   213,494x = 215,827,143,184
5. Step 5: Solve for x
   x = 215,827,143,184/213,494
6. Step 6: Final answer
   x = 1,010,928.38