Finding the Third Proportional to 47,737.50 and 102,852

Step by Step Solution

1. Step 1: Write the proportion equation
   47,737.50 : 102,852 = 102,852 : x
2. Step 2: Convert to fraction form
   47,737.50/102,852 = 102,852/x
3. Step 3: Cross multiply
   47,737.50x = 102,852 × 102,852
4. Step 4: Simplify right side
   47,737.50x = 10,578,533,904
5. Step 5: Solve for x
   x = 10,578,533,904/47,737.50
6. Step 6: Final answer
   x = 221,597.99