Finding the Third Proportional to 52,896 and 113,173.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,896 : 113,173.50 = 113,173.50 : x
2. Step 2: Convert to fraction form
   52,896/113,173.50 = 113,173.50/x
3. Step 3: Cross multiply
   52,896x = 113,173.50 × 113,173.50
4. Step 4: Simplify right side
   52,896x = 12,808,241,102.25
5. Step 5: Solve for x
   x = 12,808,241,102.25/52,896
6. Step 6: Final answer
   x = 242,140.07