Finding the Third Proportional to 212,172 and 461,154

Step by Step Solution

1. Step 1: Write the proportion equation
   212,172 : 461,154 = 461,154 : x
2. Step 2: Convert to fraction form
   212,172/461,154 = 461,154/x
3. Step 3: Cross multiply
   212,172x = 461,154 × 461,154
4. Step 4: Simplify right side
   212,172x = 212,663,011,716
5. Step 5: Solve for x
   x = 212,663,011,716/212,172
6. Step 6: Final answer
   x = 1,002,314.22