Finding the Third Proportional to 89,736 and 139,347

Step by Step Solution

1. Step 1: Write the proportion equation
   89,736 : 139,347 = 139,347 : x
2. Step 2: Convert to fraction form
   89,736/139,347 = 139,347/x
3. Step 3: Cross multiply
   89,736x = 139,347 × 139,347
4. Step 4: Simplify right side
   89,736x = 19,417,586,409
5. Step 5: Solve for x
   x = 19,417,586,409/89,736
6. Step 6: Final answer
   x = 216,385.69