Finding the Third Proportional to 101,783 and 140,645

Step by Step Solution

1. Step 1: Write the proportion equation
   101,783 : 140,645 = 140,645 : x
2. Step 2: Convert to fraction form
   101,783/140,645 = 140,645/x
3. Step 3: Cross multiply
   101,783x = 140,645 × 140,645
4. Step 4: Simplify right side
   101,783x = 19,781,016,025
5. Step 5: Solve for x
   x = 19,781,016,025/101,783
6. Step 6: Final answer
   x = 194,344.99