Finding the Third Proportional to 101,892 and 140,787

Step by Step Solution

1. Step 1: Write the proportion equation
   101,892 : 140,787 = 140,787 : x
2. Step 2: Convert to fraction form
   101,892/140,787 = 140,787/x
3. Step 3: Cross multiply
   101,892x = 140,787 × 140,787
4. Step 4: Simplify right side
   101,892x = 19,820,979,369
5. Step 5: Solve for x
   x = 19,820,979,369/101,892
6. Step 6: Final answer
   x = 194,529.30