Finding the Third Proportional to 233,444 and 362,166

Step by Step Solution

1. Step 1: Write the proportion equation
   233,444 : 362,166 = 362,166 : x
2. Step 2: Convert to fraction form
   233,444/362,166 = 362,166/x
3. Step 3: Cross multiply
   233,444x = 362,166 × 362,166
4. Step 4: Simplify right side
   233,444x = 131,164,211,556
5. Step 5: Solve for x
   x = 131,164,211,556/233,444
6. Step 6: Final answer
   x = 561,865.85