Finding the Third Proportional to 83,150 and 182,908

Step by Step Solution

1. Step 1: Write the proportion equation
   83,150 : 182,908 = 182,908 : x
2. Step 2: Convert to fraction form
   83,150/182,908 = 182,908/x
3. Step 3: Cross multiply
   83,150x = 182,908 × 182,908
4. Step 4: Simplify right side
   83,150x = 33,455,336,464
5. Step 5: Solve for x
   x = 33,455,336,464/83,150
6. Step 6: Final answer
   x = 402,349.21