Finding the Third Proportional to 309,880 and 478,832

Step by Step Solution

1. Step 1: Write the proportion equation
   309,880 : 478,832 = 478,832 : x
2. Step 2: Convert to fraction form
   309,880/478,832 = 478,832/x
3. Step 3: Cross multiply
   309,880x = 478,832 × 478,832
4. Step 4: Simplify right side
   309,880x = 229,280,084,224
5. Step 5: Solve for x
   x = 229,280,084,224/309,880
6. Step 6: Final answer
   x = 739,899.59