Finding the Third Proportional to 52,206 and 101,784

Step by Step Solution

1. Step 1: Write the proportion equation
   52,206 : 101,784 = 101,784 : x
2. Step 2: Convert to fraction form
   52,206/101,784 = 101,784/x
3. Step 3: Cross multiply
   52,206x = 101,784 × 101,784
4. Step 4: Simplify right side
   52,206x = 10,359,982,656
5. Step 5: Solve for x
   x = 10,359,982,656/52,206
6. Step 6: Final answer
   x = 198,444.29