Finding the Third Proportional to 105,714 and 140,931

Step by Step Solution

1. Step 1: Write the proportion equation
   105,714 : 140,931 = 140,931 : x
2. Step 2: Convert to fraction form
   105,714/140,931 = 140,931/x
3. Step 3: Cross multiply
   105,714x = 140,931 × 140,931
4. Step 4: Simplify right side
   105,714x = 19,861,546,761
5. Step 5: Solve for x
   x = 19,861,546,761/105,714
6. Step 6: Final answer
   x = 187,880.00