Finding the Third Proportional to 51,822 and 109,871.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,822 : 109,871.50 = 109,871.50 : x
2. Step 2: Convert to fraction form
   51,822/109,871.50 = 109,871.50/x
3. Step 3: Cross multiply
   51,822x = 109,871.50 × 109,871.50
4. Step 4: Simplify right side
   51,822x = 12,071,746,512.25
5. Step 5: Solve for x
   x = 12,071,746,512.25/51,822
6. Step 6: Final answer
   x = 232,946.36