Finding the Third Proportional to 498.75 and 725.06

Step by Step Solution

1. Step 1: Write the proportion equation
   498.75 : 725.06 = 725.06 : x
2. Step 2: Convert to fraction form
   498.75/725.06 = 725.06/x
3. Step 3: Cross multiply
   498.75x = 725.06 × 725.06
4. Step 4: Simplify right side
   498.75x = 525,715.63
5. Step 5: Solve for x
   x = 525,715.63/498.75
6. Step 6: Final answer
   x = 1,054.07