Finding the Third Proportional to 109,746 and 235,867.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,746 : 235,867.50 = 235,867.50 : x
2. Step 2: Convert to fraction form
   109,746/235,867.50 = 235,867.50/x
3. Step 3: Cross multiply
   109,746x = 235,867.50 × 235,867.50
4. Step 4: Simplify right side
   109,746x = 55,633,477,556.25
5. Step 5: Solve for x
   x = 55,633,477,556.25/109,746
6. Step 6: Final answer
   x = 506,929.43