Finding the Third Proportional to 247,412 and 409,436.50

Step by Step Solution

1. Step 1: Write the proportion equation
   247,412 : 409,436.50 = 409,436.50 : x
2. Step 2: Convert to fraction form
   247,412/409,436.50 = 409,436.50/x
3. Step 3: Cross multiply
   247,412x = 409,436.50 × 409,436.50
4. Step 4: Simplify right side
   247,412x = 167,638,247,532.25
5. Step 5: Solve for x
   x = 167,638,247,532.25/247,412
6. Step 6: Final answer
   x = 677,567.17