Finding the Third Proportional to 109,857 and 164,788.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,857 : 164,788.50 = 164,788.50 : x
2. Step 2: Convert to fraction form
   109,857/164,788.50 = 164,788.50/x
3. Step 3: Cross multiply
   109,857x = 164,788.50 × 164,788.50
4. Step 4: Simplify right side
   109,857x = 27,155,249,732.25
5. Step 5: Solve for x
   x = 27,155,249,732.25/109,857
6. Step 6: Final answer
   x = 247,187.25