Finding the Third Proportional to 47,123.25 and 102,569.25

Step by Step Solution

1. Step 1: Write the proportion equation
   47,123.25 : 102,569.25 = 102,569.25 : x
2. Step 2: Convert to fraction form
   47,123.25/102,569.25 = 102,569.25/x
3. Step 3: Cross multiply
   47,123.25x = 102,569.25 × 102,569.25
4. Step 4: Simplify right side
   47,123.25x = 10,520,451,045.56
5. Step 5: Solve for x
   x = 10,520,451,045.56/47,123.25
6. Step 6: Final answer
   x = 223,253.94