Finding the Third Proportional to 272,613 and 413,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   272,613 : 413,824.50 = 413,824.50 : x
2. Step 2: Convert to fraction form
   272,613/413,824.50 = 413,824.50/x
3. Step 3: Cross multiply
   272,613x = 413,824.50 × 413,824.50
4. Step 4: Simplify right side
   272,613x = 171,250,716,800.25
5. Step 5: Solve for x
   x = 171,250,716,800.25/272,613
6. Step 6: Final answer
   x = 628,182.50