Finding the Third Proportional to 177,807.75 and 270,168

Step by Step Solution

1. Step 1: Write the proportion equation
   177,807.75 : 270,168 = 270,168 : x
2. Step 2: Convert to fraction form
   177,807.75/270,168 = 270,168/x
3. Step 3: Cross multiply
   177,807.75x = 270,168 × 270,168
4. Step 4: Simplify right side
   177,807.75x = 72,990,748,224
5. Step 5: Solve for x
   x = 72,990,748,224/177,807.75
6. Step 6: Final answer
   x = 410,503.75