Finding the Third Proportional to 165,216 and 262,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,216 : 262,585.50 = 262,585.50 : x
2. Step 2: Convert to fraction form
   165,216/262,585.50 = 262,585.50/x
3. Step 3: Cross multiply
   165,216x = 262,585.50 × 262,585.50
4. Step 4: Simplify right side
   165,216x = 68,951,144,810.25
5. Step 5: Solve for x
   x = 68,951,144,810.25/165,216
6. Step 6: Final answer
   x = 417,339.39