Finding the Third Proportional to 49,202 and 101,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,202 : 101,904.50 = 101,904.50 : x
2. Step 2: Convert to fraction form
   49,202/101,904.50 = 101,904.50/x
3. Step 3: Cross multiply
   49,202x = 101,904.50 × 101,904.50
4. Step 4: Simplify right side
   49,202x = 10,384,527,120.25
5. Step 5: Solve for x
   x = 10,384,527,120.25/49,202
6. Step 6: Final answer
   x = 211,059.04