Finding the Third Proportional to 165,714 and 262,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,714 : 262,819.50 = 262,819.50 : x
2. Step 2: Convert to fraction form
   165,714/262,819.50 = 262,819.50/x
3. Step 3: Cross multiply
   165,714x = 262,819.50 × 262,819.50
4. Step 4: Simplify right side
   165,714x = 69,074,089,580.25
5. Step 5: Solve for x
   x = 69,074,089,580.25/165,714
6. Step 6: Final answer
   x = 416,827.12