Finding the Third Proportional to 165,510 and 262,201.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,510 : 262,201.50 = 262,201.50 : x
2. Step 2: Convert to fraction form
   165,510/262,201.50 = 262,201.50/x
3. Step 3: Cross multiply
   165,510x = 262,201.50 × 262,201.50
4. Step 4: Simplify right side
   165,510x = 68,749,626,602.25
5. Step 5: Solve for x
   x = 68,749,626,602.25/165,510
6. Step 6: Final answer
   x = 415,380.50