Finding the Third Proportional to 47,983 and 101,502

Step by Step Solution

1. Step 1: Write the proportion equation
   47,983 : 101,502 = 101,502 : x
2. Step 2: Convert to fraction form
   47,983/101,502 = 101,502/x
3. Step 3: Cross multiply
   47,983x = 101,502 × 101,502
4. Step 4: Simplify right side
   47,983x = 10,302,656,004
5. Step 5: Solve for x
   x = 10,302,656,004/47,983
6. Step 6: Final answer
   x = 214,714.71