Finding the Third Proportional to 47,564 and 100,564

Step by Step Solution

1. Step 1: Write the proportion equation
   47,564 : 100,564 = 100,564 : x
2. Step 2: Convert to fraction form
   47,564/100,564 = 100,564/x
3. Step 3: Cross multiply
   47,564x = 100,564 × 100,564
4. Step 4: Simplify right side
   47,564x = 10,113,118,096
5. Step 5: Solve for x
   x = 10,113,118,096/47,564
6. Step 6: Final answer
   x = 212,621.27