Finding the Third Proportional to 47,154 and 102,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,154 : 102,601.50 = 102,601.50 : x
2. Step 2: Convert to fraction form
   47,154/102,601.50 = 102,601.50/x
3. Step 3: Cross multiply
   47,154x = 102,601.50 × 102,601.50
4. Step 4: Simplify right side
   47,154x = 10,527,067,802.25
5. Step 5: Solve for x
   x = 10,527,067,802.25/47,154
6. Step 6: Final answer
   x = 223,248.67