Finding the Third Proportional to 67,826 and 145,684

Step by Step Solution

1. Step 1: Write the proportion equation
   67,826 : 145,684 = 145,684 : x
2. Step 2: Convert to fraction form
   67,826/145,684 = 145,684/x
3. Step 3: Cross multiply
   67,826x = 145,684 × 145,684
4. Step 4: Simplify right side
   67,826x = 21,223,827,856
5. Step 5: Solve for x
   x = 21,223,827,856/67,826
6. Step 6: Final answer
   x = 312,915.81