Finding the Third Proportional to 68,813 and 100,564

Step by Step Solution

1. Step 1: Write the proportion equation
   68,813 : 100,564 = 100,564 : x
2. Step 2: Convert to fraction form
   68,813/100,564 = 100,564/x
3. Step 3: Cross multiply
   68,813x = 100,564 × 100,564
4. Step 4: Simplify right side
   68,813x = 10,113,118,096
5. Step 5: Solve for x
   x = 10,113,118,096/68,813
6. Step 6: Final answer
   x = 146,965.23