Finding the Third Proportional to 105,174 and 141,714

Step by Step Solution

1. Step 1: Write the proportion equation
   105,174 : 141,714 = 141,714 : x
2. Step 2: Convert to fraction form
   105,174/141,714 = 141,714/x
3. Step 3: Cross multiply
   105,174x = 141,714 × 141,714
4. Step 4: Simplify right side
   105,174x = 20,082,857,796
5. Step 5: Solve for x
   x = 20,082,857,796/105,174
6. Step 6: Final answer
   x = 190,948.88