Finding the Third Proportional to 83,231 and 117,770

Step by Step Solution

1. Step 1: Write the proportion equation
   83,231 : 117,770 = 117,770 : x
2. Step 2: Convert to fraction form
   83,231/117,770 = 117,770/x
3. Step 3: Cross multiply
   83,231x = 117,770 × 117,770
4. Step 4: Simplify right side
   83,231x = 13,869,772,900
5. Step 5: Solve for x
   x = 13,869,772,900/83,231
6. Step 6: Final answer
   x = 166,641.91