Finding the Third Proportional to 101,910 and 146,789

Step by Step Solution

1. Step 1: Write the proportion equation
   101,910 : 146,789 = 146,789 : x
2. Step 2: Convert to fraction form
   101,910/146,789 = 146,789/x
3. Step 3: Cross multiply
   101,910x = 146,789 × 146,789
4. Step 4: Simplify right side
   101,910x = 21,547,010,521
5. Step 5: Solve for x
   x = 21,547,010,521/101,910
6. Step 6: Final answer
   x = 211,431.76