Finding the Third Proportional to 156,624 and 333,768

Step by Step Solution

1. Step 1: Write the proportion equation
   156,624 : 333,768 = 333,768 : x
2. Step 2: Convert to fraction form
   156,624/333,768 = 333,768/x
3. Step 3: Cross multiply
   156,624x = 333,768 × 333,768
4. Step 4: Simplify right side
   156,624x = 111,401,077,824
5. Step 5: Solve for x
   x = 111,401,077,824/156,624
6. Step 6: Final answer
   x = 711,264.42