Finding the Third Proportional to 190,774 and 295,123

Step by Step Solution

1. Step 1: Write the proportion equation
   190,774 : 295,123 = 295,123 : x
2. Step 2: Convert to fraction form
   190,774/295,123 = 295,123/x
3. Step 3: Cross multiply
   190,774x = 295,123 × 295,123
4. Step 4: Simplify right side
   190,774x = 87,097,585,129
5. Step 5: Solve for x
   x = 87,097,585,129/190,774
6. Step 6: Final answer
   x = 456,548.51