Finding the Third Proportional to 49,147 and 101,209

Step by Step Solution

1. Step 1: Write the proportion equation
   49,147 : 101,209 = 101,209 : x
2. Step 2: Convert to fraction form
   49,147/101,209 = 101,209/x
3. Step 3: Cross multiply
   49,147x = 101,209 × 101,209
4. Step 4: Simplify right side
   49,147x = 10,243,261,681
5. Step 5: Solve for x
   x = 10,243,261,681/49,147
6. Step 6: Final answer
   x = 208,420.89