Finding the Third Proportional to 109,525 and 164,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,525 : 164,773.50 = 164,773.50 : x
2. Step 2: Convert to fraction form
   109,525/164,773.50 = 164,773.50/x
3. Step 3: Cross multiply
   109,525x = 164,773.50 × 164,773.50
4. Step 4: Simplify right side
   109,525x = 27,150,306,302.25
5. Step 5: Solve for x
   x = 27,150,306,302.25/109,525
6. Step 6: Final answer
   x = 247,891.41