Finding the Third Proportional to 177,414 and 282,148.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,414 : 282,148.50 = 282,148.50 : x
2. Step 2: Convert to fraction form
   177,414/282,148.50 = 282,148.50/x
3. Step 3: Cross multiply
   177,414x = 282,148.50 × 282,148.50
4. Step 4: Simplify right side
   177,414x = 79,607,776,052.25
5. Step 5: Solve for x
   x = 79,607,776,052.25/177,414
6. Step 6: Final answer
   x = 448,711.92