Finding the Third Proportional to 102,538 and 140,532

Step by Step Solution

1. Step 1: Write the proportion equation
   102,538 : 140,532 = 140,532 : x
2. Step 2: Convert to fraction form
   102,538/140,532 = 140,532/x
3. Step 3: Cross multiply
   102,538x = 140,532 × 140,532
4. Step 4: Simplify right side
   102,538x = 19,749,243,024
5. Step 5: Solve for x
   x = 19,749,243,024/102,538
6. Step 6: Final answer
   x = 192,604.14