Finding the Third Proportional to 149,472 and 224,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   149,472 : 224,824.50 = 224,824.50 : x
2. Step 2: Convert to fraction form
   149,472/224,824.50 = 224,824.50/x
3. Step 3: Cross multiply
   149,472x = 224,824.50 × 224,824.50
4. Step 4: Simplify right side
   149,472x = 50,546,055,800.25
5. Step 5: Solve for x
   x = 50,546,055,800.25/149,472
6. Step 6: Final answer
   x = 338,164.04