Finding the Third Proportional to 90,520 and 137,238

Step by Step Solution

1. Step 1: Write the proportion equation
   90,520 : 137,238 = 137,238 : x
2. Step 2: Convert to fraction form
   90,520/137,238 = 137,238/x
3. Step 3: Cross multiply
   90,520x = 137,238 × 137,238
4. Step 4: Simplify right side
   90,520x = 18,834,268,644
5. Step 5: Solve for x
   x = 18,834,268,644/90,520
6. Step 6: Final answer
   x = 208,067.48