Finding the Third Proportional to 230,697 and 324,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   230,697 : 324,724.50 = 324,724.50 : x
2. Step 2: Convert to fraction form
   230,697/324,724.50 = 324,724.50/x
3. Step 3: Cross multiply
   230,697x = 324,724.50 × 324,724.50
4. Step 4: Simplify right side
   230,697x = 105,446,000,900.25
5. Step 5: Solve for x
   x = 105,446,000,900.25/230,697
6. Step 6: Final answer
   x = 457,075.74