Finding the Third Proportional to 543.72 and 875.78

Step by Step Solution

1. Step 1: Write the proportion equation
   543.72 : 875.78 = 875.78 : x
2. Step 2: Convert to fraction form
   543.72/875.78 = 875.78/x
3. Step 3: Cross multiply
   543.72x = 875.78 × 875.78
4. Step 4: Simplify right side
   543.72x = 766,992.80
5. Step 5: Solve for x
   x = 766,992.80/543.72
6. Step 6: Final answer
   x = 1,410.64