Finding the Third Proportional to 140,332.50 and 213,733.69

Step by Step Solution

1. Step 1: Write the proportion equation
   140,332.50 : 213,733.69 = 213,733.69 : x
2. Step 2: Convert to fraction form
   140,332.50/213,733.69 = 213,733.69/x
3. Step 3: Cross multiply
   140,332.50x = 213,733.69 × 213,733.69
4. Step 4: Simplify right side
   140,332.50x = 45,682,089,172.35
5. Step 5: Solve for x
   x = 45,682,089,172.35/140,332.50
6. Step 6: Final answer
   x = 325,527.51