Finding the Third Proportional to 53,472 and 113,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,472 : 113,824.50 = 113,824.50 : x
2. Step 2: Convert to fraction form
   53,472/113,824.50 = 113,824.50/x
3. Step 3: Cross multiply
   53,472x = 113,824.50 × 113,824.50
4. Step 4: Simplify right side
   53,472x = 12,956,016,800.25
5. Step 5: Solve for x
   x = 12,956,016,800.25/53,472
6. Step 6: Final answer
   x = 242,295.35