Finding the Third Proportional to 149,714 and 320,172

Step by Step Solution

1. Step 1: Write the proportion equation
   149,714 : 320,172 = 320,172 : x
2. Step 2: Convert to fraction form
   149,714/320,172 = 320,172/x
3. Step 3: Cross multiply
   149,714x = 320,172 × 320,172
4. Step 4: Simplify right side
   149,714x = 102,510,109,584
5. Step 5: Solve for x
   x = 102,510,109,584/149,714
6. Step 6: Final answer
   x = 684,706.24