Finding the Third Proportional to 300,772.50 and 423,180

Step by Step Solution

1. Step 1: Write the proportion equation
   300,772.50 : 423,180 = 423,180 : x
2. Step 2: Convert to fraction form
   300,772.50/423,180 = 423,180/x
3. Step 3: Cross multiply
   300,772.50x = 423,180 × 423,180
4. Step 4: Simplify right side
   300,772.50x = 179,081,312,400
5. Step 5: Solve for x
   x = 179,081,312,400/300,772.50
6. Step 6: Final answer
   x = 595,404.54