Finding the Third Proportional to 145,582 and 314,150

Step by Step Solution

1. Step 1: Write the proportion equation
   145,582 : 314,150 = 314,150 : x
2. Step 2: Convert to fraction form
   145,582/314,150 = 314,150/x
3. Step 3: Cross multiply
   145,582x = 314,150 × 314,150
4. Step 4: Simplify right side
   145,582x = 98,690,222,500
5. Step 5: Solve for x
   x = 98,690,222,500/145,582
6. Step 6: Final answer
   x = 677,901.27