Finding the Third Proportional to 101,754 and 206,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,754 : 206,383.50 = 206,383.50 : x
2. Step 2: Convert to fraction form
   101,754/206,383.50 = 206,383.50/x
3. Step 3: Cross multiply
   101,754x = 206,383.50 × 206,383.50
4. Step 4: Simplify right side
   101,754x = 42,594,149,072.25
5. Step 5: Solve for x
   x = 42,594,149,072.25/101,754
6. Step 6: Final answer
   x = 418,599.26