Finding the Third Proportional to 102,132 and 142,992

Step by Step Solution

1. Step 1: Write the proportion equation
   102,132 : 142,992 = 142,992 : x
2. Step 2: Convert to fraction form
   102,132/142,992 = 142,992/x
3. Step 3: Cross multiply
   102,132x = 142,992 × 142,992
4. Step 4: Simplify right side
   102,132x = 20,446,712,064
5. Step 5: Solve for x
   x = 20,446,712,064/102,132
6. Step 6: Final answer
   x = 200,198.88