Finding the Third Proportional to 150,804 and 233,658

Step by Step Solution

1. Step 1: Write the proportion equation
   150,804 : 233,658 = 233,658 : x
2. Step 2: Convert to fraction form
   150,804/233,658 = 233,658/x
3. Step 3: Cross multiply
   150,804x = 233,658 × 233,658
4. Step 4: Simplify right side
   150,804x = 54,596,060,964
5. Step 5: Solve for x
   x = 54,596,060,964/150,804
6. Step 6: Final answer
   x = 362,033.24