Finding the Third Proportional to 212,340 and 462,144

Step by Step Solution

1. Step 1: Write the proportion equation
   212,340 : 462,144 = 462,144 : x
2. Step 2: Convert to fraction form
   212,340/462,144 = 462,144/x
3. Step 3: Cross multiply
   212,340x = 462,144 × 462,144
4. Step 4: Simplify right side
   212,340x = 213,577,076,736
5. Step 5: Solve for x
   x = 213,577,076,736/212,340
6. Step 6: Final answer
   x = 1,005,825.92