Finding the Third Proportional to 165,834.50 and 389,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,834.50 : 389,832.50 = 389,832.50 : x
2. Step 2: Convert to fraction form
   165,834.50/389,832.50 = 389,832.50/x
3. Step 3: Cross multiply
   165,834.50x = 389,832.50 × 389,832.50
4. Step 4: Simplify right side
   165,834.50x = 151,969,378,056.25
5. Step 5: Solve for x
   x = 151,969,378,056.25/165,834.50
6. Step 6: Final answer
   x = 916,391.81