Finding the Third Proportional to 152,185.50 and 324,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,185.50 : 324,742.50 = 324,742.50 : x
2. Step 2: Convert to fraction form
   152,185.50/324,742.50 = 324,742.50/x
3. Step 3: Cross multiply
   152,185.50x = 324,742.50 × 324,742.50
4. Step 4: Simplify right side
   152,185.50x = 105,457,691,306.25
5. Step 5: Solve for x
   x = 105,457,691,306.25/152,185.50
6. Step 6: Final answer
   x = 692,954.92