Finding the Third Proportional to 47,813 and 101,314

Step by Step Solution

1. Step 1: Write the proportion equation
   47,813 : 101,314 = 101,314 : x
2. Step 2: Convert to fraction form
   47,813/101,314 = 101,314/x
3. Step 3: Cross multiply
   47,813x = 101,314 × 101,314
4. Step 4: Simplify right side
   47,813x = 10,264,526,596
5. Step 5: Solve for x
   x = 10,264,526,596/47,813
6. Step 6: Final answer
   x = 214,680.66