Finding the Third Proportional to 150,796 and 233,364

Step by Step Solution

1. Step 1: Write the proportion equation
   150,796 : 233,364 = 233,364 : x
2. Step 2: Convert to fraction form
   150,796/233,364 = 233,364/x
3. Step 3: Cross multiply
   150,796x = 233,364 × 233,364
4. Step 4: Simplify right side
   150,796x = 54,458,756,496
5. Step 5: Solve for x
   x = 54,458,756,496/150,796
6. Step 6: Final answer
   x = 361,141.92