Finding the Third Proportional to 353,200.50 and 769,457.25

Step by Step Solution

1. Step 1: Write the proportion equation
   353,200.50 : 769,457.25 = 769,457.25 : x
2. Step 2: Convert to fraction form
   353,200.50/769,457.25 = 769,457.25/x
3. Step 3: Cross multiply
   353,200.50x = 769,457.25 × 769,457.25
4. Step 4: Simplify right side
   353,200.50x = 592,064,459,577.56
5. Step 5: Solve for x
   x = 592,064,459,577.56/353,200.50
6. Step 6: Final answer
   x = 1,676,284.32