Finding the Third Proportional to 353,140 and 537,870

Step by Step Solution

1. Step 1: Write the proportion equation
   353,140 : 537,870 = 537,870 : x
2. Step 2: Convert to fraction form
   353,140/537,870 = 537,870/x
3. Step 3: Cross multiply
   353,140x = 537,870 × 537,870
4. Step 4: Simplify right side
   353,140x = 289,304,136,900
5. Step 5: Solve for x
   x = 289,304,136,900/353,140
6. Step 6: Final answer
   x = 819,233.55