Finding the Third Proportional to 47,970 and 101,786

Step by Step Solution

1. Step 1: Write the proportion equation
   47,970 : 101,786 = 101,786 : x
2. Step 2: Convert to fraction form
   47,970/101,786 = 101,786/x
3. Step 3: Cross multiply
   47,970x = 101,786 × 101,786
4. Step 4: Simplify right side
   47,970x = 10,360,389,796
5. Step 5: Solve for x
   x = 10,360,389,796/47,970
6. Step 6: Final answer
   x = 215,976.44