Finding the Third Proportional to 51,971 and 112,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,971 : 112,257.50 = 112,257.50 : x
2. Step 2: Convert to fraction form
   51,971/112,257.50 = 112,257.50/x
3. Step 3: Cross multiply
   51,971x = 112,257.50 × 112,257.50
4. Step 4: Simplify right side
   51,971x = 12,601,746,306.25
5. Step 5: Solve for x
   x = 12,601,746,306.25/51,971
6. Step 6: Final answer
   x = 242,476.50