Finding the Third Proportional to 47,778.50 and 102,253

Step by Step Solution

1. Step 1: Write the proportion equation
   47,778.50 : 102,253 = 102,253 : x
2. Step 2: Convert to fraction form
   47,778.50/102,253 = 102,253/x
3. Step 3: Cross multiply
   47,778.50x = 102,253 × 102,253
4. Step 4: Simplify right side
   47,778.50x = 10,455,676,009
5. Step 5: Solve for x
   x = 10,455,676,009/47,778.50
6. Step 6: Final answer
   x = 218,836.42