Finding the Third Proportional to 159,658 and 266,086

Step by Step Solution

1. Step 1: Write the proportion equation
   159,658 : 266,086 = 266,086 : x
2. Step 2: Convert to fraction form
   159,658/266,086 = 266,086/x
3. Step 3: Cross multiply
   159,658x = 266,086 × 266,086
4. Step 4: Simplify right side
   159,658x = 70,801,759,396
5. Step 5: Solve for x
   x = 70,801,759,396/159,658
6. Step 6: Final answer
   x = 443,458.89