Finding the Third Proportional to 418,464 and 537,300

Step by Step Solution

1. Step 1: Write the proportion equation
   418,464 : 537,300 = 537,300 : x
2. Step 2: Convert to fraction form
   418,464/537,300 = 537,300/x
3. Step 3: Cross multiply
   418,464x = 537,300 × 537,300
4. Step 4: Simplify right side
   418,464x = 288,691,290,000
5. Step 5: Solve for x
   x = 288,691,290,000/418,464
6. Step 6: Final answer
   x = 689,883.22