Finding the Third Proportional to 197,852 and 466,586

Step by Step Solution

1. Step 1: Write the proportion equation
   197,852 : 466,586 = 466,586 : x
2. Step 2: Convert to fraction form
   197,852/466,586 = 466,586/x
3. Step 3: Cross multiply
   197,852x = 466,586 × 466,586
4. Step 4: Simplify right side
   197,852x = 217,702,495,396
5. Step 5: Solve for x
   x = 217,702,495,396/197,852
6. Step 6: Final answer
   x = 1,100,330.02