Finding the Third Proportional to 47,333 and 102,046

Step by Step Solution

1. Step 1: Write the proportion equation
   47,333 : 102,046 = 102,046 : x
2. Step 2: Convert to fraction form
   47,333/102,046 = 102,046/x
3. Step 3: Cross multiply
   47,333x = 102,046 × 102,046
4. Step 4: Simplify right side
   47,333x = 10,413,386,116
5. Step 5: Solve for x
   x = 10,413,386,116/47,333
6. Step 6: Final answer
   x = 220,002.66