Finding the Third Proportional to 47,397 and 109,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,397 : 109,726.50 = 109,726.50 : x
2. Step 2: Convert to fraction form
   47,397/109,726.50 = 109,726.50/x
3. Step 3: Cross multiply
   47,397x = 109,726.50 × 109,726.50
4. Step 4: Simplify right side
   47,397x = 12,039,904,802.25
5. Step 5: Solve for x
   x = 12,039,904,802.25/47,397
6. Step 6: Final answer
   x = 254,022.51