Finding the Third Proportional to 169,443 and 362,154

Step by Step Solution

1. Step 1: Write the proportion equation
   169,443 : 362,154 = 362,154 : x
2. Step 2: Convert to fraction form
   169,443/362,154 = 362,154/x
3. Step 3: Cross multiply
   169,443x = 362,154 × 362,154
4. Step 4: Simplify right side
   169,443x = 131,155,519,716
5. Step 5: Solve for x
   x = 131,155,519,716/169,443
6. Step 6: Final answer
   x = 774,039.17