Finding the Third Proportional to 145,822 and 314,406

Step by Step Solution

1. Step 1: Write the proportion equation
   145,822 : 314,406 = 314,406 : x
2. Step 2: Convert to fraction form
   145,822/314,406 = 314,406/x
3. Step 3: Cross multiply
   145,822x = 314,406 × 314,406
4. Step 4: Simplify right side
   145,822x = 98,851,132,836
5. Step 5: Solve for x
   x = 98,851,132,836/145,822
6. Step 6: Final answer
   x = 677,889.02