Finding the Third Proportional to 212,323 and 464,025

Step by Step Solution

1. Step 1: Write the proportion equation
   212,323 : 464,025 = 464,025 : x
2. Step 2: Convert to fraction form
   212,323/464,025 = 464,025/x
3. Step 3: Cross multiply
   212,323x = 464,025 × 464,025
4. Step 4: Simplify right side
   212,323x = 215,319,200,625
5. Step 5: Solve for x
   x = 215,319,200,625/212,323
6. Step 6: Final answer
   x = 1,014,111.52