Finding the Third Proportional to 110,478 and 172,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   110,478 : 172,822.50 = 172,822.50 : x
2. Step 2: Convert to fraction form
   110,478/172,822.50 = 172,822.50/x
3. Step 3: Cross multiply
   110,478x = 172,822.50 × 172,822.50
4. Step 4: Simplify right side
   110,478x = 29,867,616,506.25
5. Step 5: Solve for x
   x = 29,867,616,506.25/110,478
6. Step 6: Final answer
   x = 270,349.00