Finding the Third Proportional to 231,178 and 362,741

Step by Step Solution

1. Step 1: Write the proportion equation
   231,178 : 362,741 = 362,741 : x
2. Step 2: Convert to fraction form
   231,178/362,741 = 362,741/x
3. Step 3: Cross multiply
   231,178x = 362,741 × 362,741
4. Step 4: Simplify right side
   231,178x = 131,581,033,081
5. Step 5: Solve for x
   x = 131,581,033,081/231,178
6. Step 6: Final answer
   x = 569,176.28