Finding the Third Proportional to 109,780.50 and 236,205

Step by Step Solution

1. Step 1: Write the proportion equation
   109,780.50 : 236,205 = 236,205 : x
2. Step 2: Convert to fraction form
   109,780.50/236,205 = 236,205/x
3. Step 3: Cross multiply
   109,780.50x = 236,205 × 236,205
4. Step 4: Simplify right side
   109,780.50x = 55,792,802,025
5. Step 5: Solve for x
   x = 55,792,802,025/109,780.50
6. Step 6: Final answer
   x = 508,221.42