Finding the Third Proportional to 165,225 and 262,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,225 : 262,600.50 = 262,600.50 : x
2. Step 2: Convert to fraction form
   165,225/262,600.50 = 262,600.50/x
3. Step 3: Cross multiply
   165,225x = 262,600.50 × 262,600.50
4. Step 4: Simplify right side
   165,225x = 68,959,022,600.25
5. Step 5: Solve for x
   x = 68,959,022,600.25/165,225
6. Step 6: Final answer
   x = 417,364.34