Finding the Third Proportional to 109,167.75 and 164,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,167.75 : 164,389.50 = 164,389.50 : x
2. Step 2: Convert to fraction form
   109,167.75/164,389.50 = 164,389.50/x
3. Step 3: Cross multiply
   109,167.75x = 164,389.50 × 164,389.50
4. Step 4: Simplify right side
   109,167.75x = 27,023,907,710.25
5. Step 5: Solve for x
   x = 27,023,907,710.25/109,167.75
6. Step 6: Final answer
   x = 247,544.79