Finding the Third Proportional to 49,565 and 103,233

Step by Step Solution

1. Step 1: Write the proportion equation
   49,565 : 103,233 = 103,233 : x
2. Step 2: Convert to fraction form
   49,565/103,233 = 103,233/x
3. Step 3: Cross multiply
   49,565x = 103,233 × 103,233
4. Step 4: Simplify right side
   49,565x = 10,657,052,289
5. Step 5: Solve for x
   x = 10,657,052,289/49,565
6. Step 6: Final answer
   x = 215,011.65