Finding the Third Proportional to 343,461 and 525,418.50

Step by Step Solution

1. Step 1: Write the proportion equation
   343,461 : 525,418.50 = 525,418.50 : x
2. Step 2: Convert to fraction form
   343,461/525,418.50 = 525,418.50/x
3. Step 3: Cross multiply
   343,461x = 525,418.50 × 525,418.50
4. Step 4: Simplify right side
   343,461x = 276,064,600,142.25
5. Step 5: Solve for x
   x = 276,064,600,142.25/343,461
6. Step 6: Final answer
   x = 803,772.77