Finding the Third Proportional to 185,796 and 408,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,796 : 408,588.50 = 408,588.50 : x
2. Step 2: Convert to fraction form
   185,796/408,588.50 = 408,588.50/x
3. Step 3: Cross multiply
   185,796x = 408,588.50 × 408,588.50
4. Step 4: Simplify right side
   185,796x = 166,944,562,332.25
5. Step 5: Solve for x
   x = 166,944,562,332.25/185,796
6. Step 6: Final answer
   x = 898,536.90