Finding the Third Proportional to 90,380 and 140,114

Step by Step Solution

1. Step 1: Write the proportion equation
   90,380 : 140,114 = 140,114 : x
2. Step 2: Convert to fraction form
   90,380/140,114 = 140,114/x
3. Step 3: Cross multiply
   90,380x = 140,114 × 140,114
4. Step 4: Simplify right side
   90,380x = 19,631,932,996
5. Step 5: Solve for x
   x = 19,631,932,996/90,380
6. Step 6: Final answer
   x = 217,215.46