Finding the Third Proportional to 47,146 and 102,590

Step by Step Solution

1. Step 1: Write the proportion equation
   47,146 : 102,590 = 102,590 : x
2. Step 2: Convert to fraction form
   47,146/102,590 = 102,590/x
3. Step 3: Cross multiply
   47,146x = 102,590 × 102,590
4. Step 4: Simplify right side
   47,146x = 10,524,708,100
5. Step 5: Solve for x
   x = 10,524,708,100/47,146
6. Step 6: Final answer
   x = 223,236.50