Finding the Third Proportional to 51,633 and 109,458.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,633 : 109,458.50 = 109,458.50 : x
2. Step 2: Convert to fraction form
   51,633/109,458.50 = 109,458.50/x
3. Step 3: Cross multiply
   51,633x = 109,458.50 × 109,458.50
4. Step 4: Simplify right side
   51,633x = 11,981,163,222.25
5. Step 5: Solve for x
   x = 11,981,163,222.25/51,633
6. Step 6: Final answer
   x = 232,044.69