Finding the Third Proportional to 149,002 and 233,103

Step by Step Solution

1. Step 1: Write the proportion equation
   149,002 : 233,103 = 233,103 : x
2. Step 2: Convert to fraction form
   149,002/233,103 = 233,103/x
3. Step 3: Cross multiply
   149,002x = 233,103 × 233,103
4. Step 4: Simplify right side
   149,002x = 54,337,008,609
5. Step 5: Solve for x
   x = 54,337,008,609/149,002
6. Step 6: Final answer
   x = 364,673.02