Finding the Third Proportional to 201,870 and 424,650

Step by Step Solution

1. Step 1: Write the proportion equation
   201,870 : 424,650 = 424,650 : x
2. Step 2: Convert to fraction form
   201,870/424,650 = 424,650/x
3. Step 3: Cross multiply
   201,870x = 424,650 × 424,650
4. Step 4: Simplify right side
   201,870x = 180,327,622,500
5. Step 5: Solve for x
   x = 180,327,622,500/201,870
6. Step 6: Final answer
   x = 893,285.89