Finding the Third Proportional to 498,567 and 747,667

Step by Step Solution

1. Step 1: Write the proportion equation
   498,567 : 747,667 = 747,667 : x
2. Step 2: Convert to fraction form
   498,567/747,667 = 747,667/x
3. Step 3: Cross multiply
   498,567x = 747,667 × 747,667
4. Step 4: Simplify right side
   498,567x = 559,005,942,889
5. Step 5: Solve for x
   x = 559,005,942,889/498,567
6. Step 6: Final answer
   x = 1,121,225.32