Finding the Third Proportional to 92,644 and 140,838

Step by Step Solution

1. Step 1: Write the proportion equation
   92,644 : 140,838 = 140,838 : x
2. Step 2: Convert to fraction form
   92,644/140,838 = 140,838/x
3. Step 3: Cross multiply
   92,644x = 140,838 × 140,838
4. Step 4: Simplify right side
   92,644x = 19,835,342,244
5. Step 5: Solve for x
   x = 19,835,342,244/92,644
6. Step 6: Final answer
   x = 214,102.83