Finding the Third Proportional to 211,586 and 461,156

Step by Step Solution

1. Step 1: Write the proportion equation
   211,586 : 461,156 = 461,156 : x
2. Step 2: Convert to fraction form
   211,586/461,156 = 461,156/x
3. Step 3: Cross multiply
   211,586x = 461,156 × 461,156
4. Step 4: Simplify right side
   211,586x = 212,664,856,336
5. Step 5: Solve for x
   x = 212,664,856,336/211,586
6. Step 6: Final answer
   x = 1,005,098.90