Finding the Third Proportional to 233,500 and 362,238

Step by Step Solution

1. Step 1: Write the proportion equation
   233,500 : 362,238 = 362,238 : x
2. Step 2: Convert to fraction form
   233,500/362,238 = 362,238/x
3. Step 3: Cross multiply
   233,500x = 362,238 × 362,238
4. Step 4: Simplify right side
   233,500x = 131,216,368,644
5. Step 5: Solve for x
   x = 131,216,368,644/233,500
6. Step 6: Final answer
   x = 561,954.47