Finding the Third Proportional to 343,414 and 525,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   343,414 : 525,328.50 = 525,328.50 : x
2. Step 2: Convert to fraction form
   343,414/525,328.50 = 525,328.50/x
3. Step 3: Cross multiply
   343,414x = 525,328.50 × 525,328.50
4. Step 4: Simplify right side
   343,414x = 275,970,032,912.25
5. Step 5: Solve for x
   x = 275,970,032,912.25/343,414
6. Step 6: Final answer
   x = 803,607.40