Finding the Third Proportional to 90,462 and 138,042

Step by Step Solution

1. Step 1: Write the proportion equation
   90,462 : 138,042 = 138,042 : x
2. Step 2: Convert to fraction form
   90,462/138,042 = 138,042/x
3. Step 3: Cross multiply
   90,462x = 138,042 × 138,042
4. Step 4: Simplify right side
   90,462x = 19,055,593,764
5. Step 5: Solve for x
   x = 19,055,593,764/90,462
6. Step 6: Final answer
   x = 210,647.50