Finding the Third Proportional to 195,922 and 293,123

Step by Step Solution

1. Step 1: Write the proportion equation
   195,922 : 293,123 = 293,123 : x
2. Step 2: Convert to fraction form
   195,922/293,123 = 293,123/x
3. Step 3: Cross multiply
   195,922x = 293,123 × 293,123
4. Step 4: Simplify right side
   195,922x = 85,921,093,129
5. Step 5: Solve for x
   x = 85,921,093,129/195,922
6. Step 6: Final answer
   x = 438,547.45