Finding the Third Proportional to 52,262 and 114,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,262 : 114,928.50 = 114,928.50 : x
2. Step 2: Convert to fraction form
   52,262/114,928.50 = 114,928.50/x
3. Step 3: Cross multiply
   52,262x = 114,928.50 × 114,928.50
4. Step 4: Simplify right side
   52,262x = 13,208,560,112.25
5. Step 5: Solve for x
   x = 13,208,560,112.25/52,262
6. Step 6: Final answer
   x = 252,737.36