Finding the Third Proportional to 67,818 and 137,481

Step by Step Solution

1. Step 1: Write the proportion equation
   67,818 : 137,481 = 137,481 : x
2. Step 2: Convert to fraction form
   67,818/137,481 = 137,481/x
3. Step 3: Cross multiply
   67,818x = 137,481 × 137,481
4. Step 4: Simplify right side
   67,818x = 18,901,025,361
5. Step 5: Solve for x
   x = 18,901,025,361/67,818
6. Step 6: Final answer
   x = 278,702.19