Finding the Third Proportional to 83,151 and 182,910

Step by Step Solution

1. Step 1: Write the proportion equation
   83,151 : 182,910 = 182,910 : x
2. Step 2: Convert to fraction form
   83,151/182,910 = 182,910/x
3. Step 3: Cross multiply
   83,151x = 182,910 × 182,910
4. Step 4: Simplify right side
   83,151x = 33,456,068,100
5. Step 5: Solve for x
   x = 33,456,068,100/83,151
6. Step 6: Final answer
   x = 402,353.17