Finding the Third Proportional to 83,106 and 182,832

Step by Step Solution

1. Step 1: Write the proportion equation
   83,106 : 182,832 = 182,832 : x
2. Step 2: Convert to fraction form
   83,106/182,832 = 182,832/x
3. Step 3: Cross multiply
   83,106x = 182,832 × 182,832
4. Step 4: Simplify right side
   83,106x = 33,427,540,224
5. Step 5: Solve for x
   x = 33,427,540,224/83,106
6. Step 6: Final answer
   x = 402,227.76