Finding the Third Proportional to 90,538 and 140,984

Step by Step Solution

1. Step 1: Write the proportion equation
   90,538 : 140,984 = 140,984 : x
2. Step 2: Convert to fraction form
   90,538/140,984 = 140,984/x
3. Step 3: Cross multiply
   90,538x = 140,984 × 140,984
4. Step 4: Simplify right side
   90,538x = 19,876,488,256
5. Step 5: Solve for x
   x = 19,876,488,256/90,538
6. Step 6: Final answer
   x = 219,537.52