Finding the Third Proportional to 145,432 and 317,144

Step by Step Solution

1. Step 1: Write the proportion equation
   145,432 : 317,144 = 317,144 : x
2. Step 2: Convert to fraction form
   145,432/317,144 = 317,144/x
3. Step 3: Cross multiply
   145,432x = 317,144 × 317,144
4. Step 4: Simplify right side
   145,432x = 100,580,316,736
5. Step 5: Solve for x
   x = 100,580,316,736/145,432
6. Step 6: Final answer
   x = 691,596.88