Finding the Third Proportional to 177,627 and 270,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,627 : 270,085.50 = 270,085.50 : x
2. Step 2: Convert to fraction form
   177,627/270,085.50 = 270,085.50/x
3. Step 3: Cross multiply
   177,627x = 270,085.50 × 270,085.50
4. Step 4: Simplify right side
   177,627x = 72,946,177,310.25
5. Step 5: Solve for x
   x = 72,946,177,310.25/177,627
6. Step 6: Final answer
   x = 410,670.55