Finding the Third Proportional to 145,882 and 314,084

Step by Step Solution

1. Step 1: Write the proportion equation
   145,882 : 314,084 = 314,084 : x
2. Step 2: Convert to fraction form
   145,882/314,084 = 314,084/x
3. Step 3: Cross multiply
   145,882x = 314,084 × 314,084
4. Step 4: Simplify right side
   145,882x = 98,648,759,056
5. Step 5: Solve for x
   x = 98,648,759,056/145,882
6. Step 6: Final answer
   x = 676,222.97