Finding the Third Proportional to 145,870 and 322,358

Step by Step Solution

1. Step 1: Write the proportion equation
   145,870 : 322,358 = 322,358 : x
2. Step 2: Convert to fraction form
   145,870/322,358 = 322,358/x
3. Step 3: Cross multiply
   145,870x = 322,358 × 322,358
4. Step 4: Simplify right side
   145,870x = 103,914,680,164
5. Step 5: Solve for x
   x = 103,914,680,164/145,870
6. Step 6: Final answer
   x = 712,378.69