Finding the Third Proportional to 176,535 and 270,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   176,535 : 270,100.50 = 270,100.50 : x
2. Step 2: Convert to fraction form
   176,535/270,100.50 = 270,100.50/x
3. Step 3: Cross multiply
   176,535x = 270,100.50 × 270,100.50
4. Step 4: Simplify right side
   176,535x = 72,954,280,100.25
5. Step 5: Solve for x
   x = 72,954,280,100.25/176,535
6. Step 6: Final answer
   x = 413,256.75