Finding the Third Proportional to 233,396 and 362,096

Step by Step Solution

1. Step 1: Write the proportion equation
   233,396 : 362,096 = 362,096 : x
2. Step 2: Convert to fraction form
   233,396/362,096 = 362,096/x
3. Step 3: Cross multiply
   233,396x = 362,096 × 362,096
4. Step 4: Simplify right side
   233,396x = 131,113,513,216
5. Step 5: Solve for x
   x = 131,113,513,216/233,396
6. Step 6: Final answer
   x = 561,764.18