Finding the Third Proportional to 314,865 and 679,459.50

Step by Step Solution

1. Step 1: Write the proportion equation
   314,865 : 679,459.50 = 679,459.50 : x
2. Step 2: Convert to fraction form
   314,865/679,459.50 = 679,459.50/x
3. Step 3: Cross multiply
   314,865x = 679,459.50 × 679,459.50
4. Step 4: Simplify right side
   314,865x = 461,665,212,140.25
5. Step 5: Solve for x
   x = 461,665,212,140.25/314,865
6. Step 6: Final answer
   x = 1,466,232.23