Finding the Third Proportional to 47,817 and 102,141

Step by Step Solution

1. Step 1: Write the proportion equation
   47,817 : 102,141 = 102,141 : x
2. Step 2: Convert to fraction form
   47,817/102,141 = 102,141/x
3. Step 3: Cross multiply
   47,817x = 102,141 × 102,141
4. Step 4: Simplify right side
   47,817x = 10,432,783,881
5. Step 5: Solve for x
   x = 10,432,783,881/47,817
6. Step 6: Final answer
   x = 218,181.48