Finding the Third Proportional to 89,714 and 139,309

Step by Step Solution

1. Step 1: Write the proportion equation
   89,714 : 139,309 = 139,309 : x
2. Step 2: Convert to fraction form
   89,714/139,309 = 139,309/x
3. Step 3: Cross multiply
   89,714x = 139,309 × 139,309
4. Step 4: Simplify right side
   89,714x = 19,406,997,481
5. Step 5: Solve for x
   x = 19,406,997,481/89,714
6. Step 6: Final answer
   x = 216,320.72