Finding the Third Proportional to 165,375 and 262,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,375 : 262,828.50 = 262,828.50 : x
2. Step 2: Convert to fraction form
   165,375/262,828.50 = 262,828.50/x
3. Step 3: Cross multiply
   165,375x = 262,828.50 × 262,828.50
4. Step 4: Simplify right side
   165,375x = 69,078,820,412.25
5. Step 5: Solve for x
   x = 69,078,820,412.25/165,375
6. Step 6: Final answer
   x = 417,710.18