Finding the Third Proportional to 101,016 and 147,852

Step by Step Solution

1. Step 1: Write the proportion equation
   101,016 : 147,852 = 147,852 : x
2. Step 2: Convert to fraction form
   101,016/147,852 = 147,852/x
3. Step 3: Cross multiply
   101,016x = 147,852 × 147,852
4. Step 4: Simplify right side
   101,016x = 21,860,213,904
5. Step 5: Solve for x
   x = 21,860,213,904/101,016
6. Step 6: Final answer
   x = 216,403.48