Finding the Third Proportional to 51,618 and 109,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,618 : 109,438.50 = 109,438.50 : x
2. Step 2: Convert to fraction form
   51,618/109,438.50 = 109,438.50/x
3. Step 3: Cross multiply
   51,618x = 109,438.50 × 109,438.50
4. Step 4: Simplify right side
   51,618x = 11,976,785,282.25
5. Step 5: Solve for x
   x = 11,976,785,282.25/51,618
6. Step 6: Final answer
   x = 232,027.30