Finding the Third Proportional to 147,814.50 and 324,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,814.50 : 324,241.50 = 324,241.50 : x
2. Step 2: Convert to fraction form
   147,814.50/324,241.50 = 324,241.50/x
3. Step 3: Cross multiply
   147,814.50x = 324,241.50 × 324,241.50
4. Step 4: Simplify right side
   147,814.50x = 105,132,550,322.25
5. Step 5: Solve for x
   x = 105,132,550,322.25/147,814.50
6. Step 6: Final answer
   x = 711,246.53