Finding the Third Proportional to 78,024 and 168,528

Step by Step Solution

1. Step 1: Write the proportion equation
   78,024 : 168,528 = 168,528 : x
2. Step 2: Convert to fraction form
   78,024/168,528 = 168,528/x
3. Step 3: Cross multiply
   78,024x = 168,528 × 168,528
4. Step 4: Simplify right side
   78,024x = 28,401,686,784
5. Step 5: Solve for x
   x = 28,401,686,784/78,024
6. Step 6: Final answer
   x = 364,012.19