Finding the Third Proportional to 262,693 and 416,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,693 : 416,031.50 = 416,031.50 : x
2. Step 2: Convert to fraction form
   262,693/416,031.50 = 416,031.50/x
3. Step 3: Cross multiply
   262,693x = 416,031.50 × 416,031.50
4. Step 4: Simplify right side
   262,693x = 173,082,208,992.25
5. Step 5: Solve for x
   x = 173,082,208,992.25/262,693
6. Step 6: Final answer
   x = 658,876.37