Finding the Third Proportional to 155,726 and 338,789

Step by Step Solution

1. Step 1: Write the proportion equation
   155,726 : 338,789 = 338,789 : x
2. Step 2: Convert to fraction form
   155,726/338,789 = 338,789/x
3. Step 3: Cross multiply
   155,726x = 338,789 × 338,789
4. Step 4: Simplify right side
   155,726x = 114,777,986,521
5. Step 5: Solve for x
   x = 114,777,986,521/155,726
6. Step 6: Final answer
   x = 737,050.89