Finding the Third Proportional to 40,688 and 83,886

Step by Step Solution

1. Step 1: Write the proportion equation
   40,688 : 83,886 = 83,886 : x
2. Step 2: Convert to fraction form
   40,688/83,886 = 83,886/x
3. Step 3: Cross multiply
   40,688x = 83,886 × 83,886
4. Step 4: Simplify right side
   40,688x = 7,036,860,996
5. Step 5: Solve for x
   x = 7,036,860,996/40,688
6. Step 6: Final answer
   x = 172,946.84