Finding the Third Proportional to 101,389 and 146,856

Step by Step Solution

1. Step 1: Write the proportion equation
   101,389 : 146,856 = 146,856 : x
2. Step 2: Convert to fraction form
   101,389/146,856 = 146,856/x
3. Step 3: Cross multiply
   101,389x = 146,856 × 146,856
4. Step 4: Simplify right side
   101,389x = 21,566,684,736
5. Step 5: Solve for x
   x = 21,566,684,736/101,389
6. Step 6: Final answer
   x = 212,712.27