Finding the Third Proportional to 90,314 and 140,642

Step by Step Solution

1. Step 1: Write the proportion equation
   90,314 : 140,642 = 140,642 : x
2. Step 2: Convert to fraction form
   90,314/140,642 = 140,642/x
3. Step 3: Cross multiply
   90,314x = 140,642 × 140,642
4. Step 4: Simplify right side
   90,314x = 19,780,172,164
5. Step 5: Solve for x
   x = 19,780,172,164/90,314
6. Step 6: Final answer
   x = 219,015.57