Finding the Third Proportional to 212,912 and 463,624

Step by Step Solution

1. Step 1: Write the proportion equation
   212,912 : 463,624 = 463,624 : x
2. Step 2: Convert to fraction form
   212,912/463,624 = 463,624/x
3. Step 3: Cross multiply
   212,912x = 463,624 × 463,624
4. Step 4: Simplify right side
   212,912x = 214,947,213,376
5. Step 5: Solve for x
   x = 214,947,213,376/212,912
6. Step 6: Final answer
   x = 1,009,558.94