Finding the Third Proportional to 212,164 and 468,488

Step by Step Solution

1. Step 1: Write the proportion equation
   212,164 : 468,488 = 468,488 : x
2. Step 2: Convert to fraction form
   212,164/468,488 = 468,488/x
3. Step 3: Cross multiply
   212,164x = 468,488 × 468,488
4. Step 4: Simplify right side
   212,164x = 219,481,006,144
5. Step 5: Solve for x
   x = 219,481,006,144/212,164
6. Step 6: Final answer
   x = 1,034,487.50