Finding the Third Proportional to 212,440 and 463,526

Step by Step Solution

1. Step 1: Write the proportion equation
   212,440 : 463,526 = 463,526 : x
2. Step 2: Convert to fraction form
   212,440/463,526 = 463,526/x
3. Step 3: Cross multiply
   212,440x = 463,526 × 463,526
4. Step 4: Simplify right side
   212,440x = 214,856,352,676
5. Step 5: Solve for x
   x = 214,856,352,676/212,440
6. Step 6: Final answer
   x = 1,011,374.28