Finding the Third Proportional to 185,833.50 and 405,795

Step by Step Solution

1. Step 1: Write the proportion equation
   185,833.50 : 405,795 = 405,795 : x
2. Step 2: Convert to fraction form
   185,833.50/405,795 = 405,795/x
3. Step 3: Cross multiply
   185,833.50x = 405,795 × 405,795
4. Step 4: Simplify right side
   185,833.50x = 164,669,582,025
5. Step 5: Solve for x
   x = 164,669,582,025/185,833.50
6. Step 6: Final answer
   x = 886,113.55