Finding the Third Proportional to 71,624 and 151,788

Step by Step Solution

1. Step 1: Write the proportion equation
   71,624 : 151,788 = 151,788 : x
2. Step 2: Convert to fraction form
   71,624/151,788 = 151,788/x
3. Step 3: Cross multiply
   71,624x = 151,788 × 151,788
4. Step 4: Simplify right side
   71,624x = 23,039,596,944
5. Step 5: Solve for x
   x = 23,039,596,944/71,624
6. Step 6: Final answer
   x = 321,674.26