Finding the Third Proportional to 68,216 and 103,384

Step by Step Solution

1. Step 1: Write the proportion equation
   68,216 : 103,384 = 103,384 : x
2. Step 2: Convert to fraction form
   68,216/103,384 = 103,384/x
3. Step 3: Cross multiply
   68,216x = 103,384 × 103,384
4. Step 4: Simplify right side
   68,216x = 10,688,251,456
5. Step 5: Solve for x
   x = 10,688,251,456/68,216
6. Step 6: Final answer
   x = 156,682.47