Finding the Third Proportional to 354,762 and 535,830

Step by Step Solution

1. Step 1: Write the proportion equation
   354,762 : 535,830 = 535,830 : x
2. Step 2: Convert to fraction form
   354,762/535,830 = 535,830/x
3. Step 3: Cross multiply
   354,762x = 535,830 × 535,830
4. Step 4: Simplify right side
   354,762x = 287,113,788,900
5. Step 5: Solve for x
   x = 287,113,788,900/354,762
6. Step 6: Final answer
   x = 809,313.82