Finding the Third Proportional to 145,156 and 321,416

Step by Step Solution

1. Step 1: Write the proportion equation
   145,156 : 321,416 = 321,416 : x
2. Step 2: Convert to fraction form
   145,156/321,416 = 321,416/x
3. Step 3: Cross multiply
   145,156x = 321,416 × 321,416
4. Step 4: Simplify right side
   145,156x = 103,308,245,056
5. Step 5: Solve for x
   x = 103,308,245,056/145,156
6. Step 6: Final answer
   x = 711,704.96