Finding the Third Proportional to 83,796 and 176,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,796 : 176,209.50 = 176,209.50 : x
2. Step 2: Convert to fraction form
   83,796/176,209.50 = 176,209.50/x
3. Step 3: Cross multiply
   83,796x = 176,209.50 × 176,209.50
4. Step 4: Simplify right side
   83,796x = 31,049,787,890.25
5. Step 5: Solve for x
   x = 31,049,787,890.25/83,796
6. Step 6: Final answer
   x = 370,540.22