Finding the Third Proportional to 78,896 and 146,897

Step by Step Solution

1. Step 1: Write the proportion equation
   78,896 : 146,897 = 146,897 : x
2. Step 2: Convert to fraction form
   78,896/146,897 = 146,897/x
3. Step 3: Cross multiply
   78,896x = 146,897 × 146,897
4. Step 4: Simplify right side
   78,896x = 21,578,728,609
5. Step 5: Solve for x
   x = 21,578,728,609/78,896
6. Step 6: Final answer
   x = 273,508.53