Finding the Third Proportional to 165,753 and 254,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,753 : 254,920.50 = 254,920.50 : x
2. Step 2: Convert to fraction form
   165,753/254,920.50 = 254,920.50/x
3. Step 3: Cross multiply
   165,753x = 254,920.50 × 254,920.50
4. Step 4: Simplify right side
   165,753x = 64,984,461,320.25
5. Step 5: Solve for x
   x = 64,984,461,320.25/165,753
6. Step 6: Final answer
   x = 392,056.02