Finding the Third Proportional to 67,836 and 137,516

Step by Step Solution

1. Step 1: Write the proportion equation
   67,836 : 137,516 = 137,516 : x
2. Step 2: Convert to fraction form
   67,836/137,516 = 137,516/x
3. Step 3: Cross multiply
   67,836x = 137,516 × 137,516
4. Step 4: Simplify right side
   67,836x = 18,910,650,256
5. Step 5: Solve for x
   x = 18,910,650,256/67,836
6. Step 6: Final answer
   x = 278,770.13