Finding the Third Proportional to 185,834.50 and 405,797

Step by Step Solution

1. Step 1: Write the proportion equation
   185,834.50 : 405,797 = 405,797 : x
2. Step 2: Convert to fraction form
   185,834.50/405,797 = 405,797/x
3. Step 3: Cross multiply
   185,834.50x = 405,797 × 405,797
4. Step 4: Simplify right side
   185,834.50x = 164,671,205,209
5. Step 5: Solve for x
   x = 164,671,205,209/185,834.50
6. Step 6: Final answer
   x = 886,117.51