Finding the Third Proportional to 81,144 and 175,248

Step by Step Solution

1. Step 1: Write the proportion equation
   81,144 : 175,248 = 175,248 : x
2. Step 2: Convert to fraction form
   81,144/175,248 = 175,248/x
3. Step 3: Cross multiply
   81,144x = 175,248 × 175,248
4. Step 4: Simplify right side
   81,144x = 30,711,861,504
5. Step 5: Solve for x
   x = 30,711,861,504/81,144
6. Step 6: Final answer
   x = 378,485.92