Finding the Third Proportional to 165,231 and 354,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,231 : 354,433.50 = 354,433.50 : x
2. Step 2: Convert to fraction form
   165,231/354,433.50 = 354,433.50/x
3. Step 3: Cross multiply
   165,231x = 354,433.50 × 354,433.50
4. Step 4: Simplify right side
   165,231x = 125,623,105,922.25
5. Step 5: Solve for x
   x = 125,623,105,922.25/165,231
6. Step 6: Final answer
   x = 760,287.75