Finding the Third Proportional to 146,093 and 195,082

Step by Step Solution

1. Step 1: Write the proportion equation
   146,093 : 195,082 = 195,082 : x
2. Step 2: Convert to fraction form
   146,093/195,082 = 195,082/x
3. Step 3: Cross multiply
   146,093x = 195,082 × 195,082
4. Step 4: Simplify right side
   146,093x = 38,056,986,724
5. Step 5: Solve for x
   x = 38,056,986,724/146,093
6. Step 6: Final answer
   x = 260,498.36