Finding the Third Proportional to 55,949 and 85,384

Step by Step Solution

1. Step 1: Write the proportion equation
   55,949 : 85,384 = 85,384 : x
2. Step 2: Convert to fraction form
   55,949/85,384 = 85,384/x
3. Step 3: Cross multiply
   55,949x = 85,384 × 85,384
4. Step 4: Simplify right side
   55,949x = 7,290,427,456
5. Step 5: Solve for x
   x = 7,290,427,456/55,949
6. Step 6: Final answer
   x = 130,304.88