Finding the Third Proportional to 67,848 and 137,536

Step by Step Solution

1. Step 1: Write the proportion equation
   67,848 : 137,536 = 137,536 : x
2. Step 2: Convert to fraction form
   67,848/137,536 = 137,536/x
3. Step 3: Cross multiply
   67,848x = 137,536 × 137,536
4. Step 4: Simplify right side
   67,848x = 18,916,151,296
5. Step 5: Solve for x
   x = 18,916,151,296/67,848
6. Step 6: Final answer
   x = 278,801.90