Finding the Third Proportional to 467,144 and 712,380

Step by Step Solution

1. Step 1: Write the proportion equation
   467,144 : 712,380 = 712,380 : x
2. Step 2: Convert to fraction form
   467,144/712,380 = 712,380/x
3. Step 3: Cross multiply
   467,144x = 712,380 × 712,380
4. Step 4: Simplify right side
   467,144x = 507,485,264,400
5. Step 5: Solve for x
   x = 507,485,264,400/467,144
6. Step 6: Final answer
   x = 1,086,357.24