Finding the Third Proportional to 47,901 and 103,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,901 : 103,006.50 = 103,006.50 : x
2. Step 2: Convert to fraction form
   47,901/103,006.50 = 103,006.50/x
3. Step 3: Cross multiply
   47,901x = 103,006.50 × 103,006.50
4. Step 4: Simplify right side
   47,901x = 10,610,339,042.25
5. Step 5: Solve for x
   x = 10,610,339,042.25/47,901
6. Step 6: Final answer
   x = 221,505.59