Finding the Third Proportional to 82,478 and 183,910

Step by Step Solution

1. Step 1: Write the proportion equation
   82,478 : 183,910 = 183,910 : x
2. Step 2: Convert to fraction form
   82,478/183,910 = 183,910/x
3. Step 3: Cross multiply
   82,478x = 183,910 × 183,910
4. Step 4: Simplify right side
   82,478x = 33,822,888,100
5. Step 5: Solve for x
   x = 33,822,888,100/82,478
6. Step 6: Final answer
   x = 410,083.76