Finding the Third Proportional to 89,860 and 139,714

Step by Step Solution

1. Step 1: Write the proportion equation
   89,860 : 139,714 = 139,714 : x
2. Step 2: Convert to fraction form
   89,860/139,714 = 139,714/x
3. Step 3: Cross multiply
   89,860x = 139,714 × 139,714
4. Step 4: Simplify right side
   89,860x = 19,520,001,796
5. Step 5: Solve for x
   x = 19,520,001,796/89,860
6. Step 6: Final answer
   x = 217,226.82