Finding the Third Proportional to 72,646 and 108,964

Step by Step Solution

1. Step 1: Write the proportion equation
   72,646 : 108,964 = 108,964 : x
2. Step 2: Convert to fraction form
   72,646/108,964 = 108,964/x
3. Step 3: Cross multiply
   72,646x = 108,964 × 108,964
4. Step 4: Simplify right side
   72,646x = 11,873,153,296
5. Step 5: Solve for x
   x = 11,873,153,296/72,646
6. Step 6: Final answer
   x = 163,438.50