Finding the Third Proportional to 233,456 and 362,184

Step by Step Solution

1. Step 1: Write the proportion equation
   233,456 : 362,184 = 362,184 : x
2. Step 2: Convert to fraction form
   233,456/362,184 = 362,184/x
3. Step 3: Cross multiply
   233,456x = 362,184 × 362,184
4. Step 4: Simplify right side
   233,456x = 131,177,249,856
5. Step 5: Solve for x
   x = 131,177,249,856/233,456
6. Step 6: Final answer
   x = 561,892.82