Finding the Third Proportional to 89,546 and 139,764

Step by Step Solution

1. Step 1: Write the proportion equation
   89,546 : 139,764 = 139,764 : x
2. Step 2: Convert to fraction form
   89,546/139,764 = 139,764/x
3. Step 3: Cross multiply
   89,546x = 139,764 × 139,764
4. Step 4: Simplify right side
   89,546x = 19,533,975,696
5. Step 5: Solve for x
   x = 19,533,975,696/89,546
6. Step 6: Final answer
   x = 218,144.59