Finding the Third Proportional to 72,646 and 156,964

Step by Step Solution

1. Step 1: Write the proportion equation
   72,646 : 156,964 = 156,964 : x
2. Step 2: Convert to fraction form
   72,646/156,964 = 156,964/x
3. Step 3: Cross multiply
   72,646x = 156,964 × 156,964
4. Step 4: Simplify right side
   72,646x = 24,637,697,296
5. Step 5: Solve for x
   x = 24,637,697,296/72,646
6. Step 6: Final answer
   x = 339,147.33