Finding the Third Proportional to 101,792 and 140,656

Step by Step Solution

1. Step 1: Write the proportion equation
   101,792 : 140,656 = 140,656 : x
2. Step 2: Convert to fraction form
   101,792/140,656 = 140,656/x
3. Step 3: Cross multiply
   101,792x = 140,656 × 140,656
4. Step 4: Simplify right side
   101,792x = 19,784,110,336
5. Step 5: Solve for x
   x = 19,784,110,336/101,792
6. Step 6: Final answer
   x = 194,358.20