Finding the Third Proportional to 90,138 and 140,160

Step by Step Solution

1. Step 1: Write the proportion equation
   90,138 : 140,160 = 140,160 : x
2. Step 2: Convert to fraction form
   90,138/140,160 = 140,160/x
3. Step 3: Cross multiply
   90,138x = 140,160 × 140,160
4. Step 4: Simplify right side
   90,138x = 19,644,825,600
5. Step 5: Solve for x
   x = 19,644,825,600/90,138
6. Step 6: Final answer
   x = 217,941.66