Finding the Third Proportional to 52,233 and 76,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,233 : 76,162.50 = 76,162.50 : x
2. Step 2: Convert to fraction form
   52,233/76,162.50 = 76,162.50/x
3. Step 3: Cross multiply
   52,233x = 76,162.50 × 76,162.50
4. Step 4: Simplify right side
   52,233x = 5,800,726,406.25
5. Step 5: Solve for x
   x = 5,800,726,406.25/52,233
6. Step 6: Final answer
   x = 111,054.82