Finding the Third Proportional to 89,536 and 139,754

Step by Step Solution

1. Step 1: Write the proportion equation
   89,536 : 139,754 = 139,754 : x
2. Step 2: Convert to fraction form
   89,536/139,754 = 139,754/x
3. Step 3: Cross multiply
   89,536x = 139,754 × 139,754
4. Step 4: Simplify right side
   89,536x = 19,531,180,516
5. Step 5: Solve for x
   x = 19,531,180,516/89,536
6. Step 6: Final answer
   x = 218,137.74