Finding the Third Proportional to 47,205 and 102,155

Step by Step Solution

1. Step 1: Write the proportion equation
   47,205 : 102,155 = 102,155 : x
2. Step 2: Convert to fraction form
   47,205/102,155 = 102,155/x
3. Step 3: Cross multiply
   47,205x = 102,155 × 102,155
4. Step 4: Simplify right side
   47,205x = 10,435,644,025
5. Step 5: Solve for x
   x = 10,435,644,025/47,205
6. Step 6: Final answer
   x = 221,070.73