Finding the Third Proportional to 141,744 and 213,256.50

Step by Step Solution

1. Step 1: Write the proportion equation
   141,744 : 213,256.50 = 213,256.50 : x
2. Step 2: Convert to fraction form
   141,744/213,256.50 = 213,256.50/x
3. Step 3: Cross multiply
   141,744x = 213,256.50 × 213,256.50
4. Step 4: Simplify right side
   141,744x = 45,478,334,792.25
5. Step 5: Solve for x
   x = 45,478,334,792.25/141,744
6. Step 6: Final answer
   x = 320,848.39