Finding the Third Proportional to 166,509 and 363,468

Step by Step Solution

1. Step 1: Write the proportion equation
   166,509 : 363,468 = 363,468 : x
2. Step 2: Convert to fraction form
   166,509/363,468 = 363,468/x
3. Step 3: Cross multiply
   166,509x = 363,468 × 363,468
4. Step 4: Simplify right side
   166,509x = 132,108,987,024
5. Step 5: Solve for x
   x = 132,108,987,024/166,509
6. Step 6: Final answer
   x = 793,404.48