Finding the Third Proportional to 343,456 and 525,410

Step by Step Solution

1. Step 1: Write the proportion equation
   343,456 : 525,410 = 525,410 : x
2. Step 2: Convert to fraction form
   343,456/525,410 = 525,410/x
3. Step 3: Cross multiply
   343,456x = 525,410 × 525,410
4. Step 4: Simplify right side
   343,456x = 276,055,668,100
5. Step 5: Solve for x
   x = 276,055,668,100/343,456
6. Step 6: Final answer
   x = 803,758.47