Finding the Third Proportional to 233,376 and 362,064

Step by Step Solution

1. Step 1: Write the proportion equation
   233,376 : 362,064 = 362,064 : x
2. Step 2: Convert to fraction form
   233,376/362,064 = 362,064/x
3. Step 3: Cross multiply
   233,376x = 362,064 × 362,064
4. Step 4: Simplify right side
   233,376x = 131,090,340,096
5. Step 5: Solve for x
   x = 131,090,340,096/233,376
6. Step 6: Final answer
   x = 561,713.03