Finding the Third Proportional to 101,714 and 147,954

Step by Step Solution

1. Step 1: Write the proportion equation
   101,714 : 147,954 = 147,954 : x
2. Step 2: Convert to fraction form
   101,714/147,954 = 147,954/x
3. Step 3: Cross multiply
   101,714x = 147,954 × 147,954
4. Step 4: Simplify right side
   101,714x = 21,890,386,116
5. Step 5: Solve for x
   x = 21,890,386,116/101,714
6. Step 6: Final answer
   x = 215,215.07