Finding the Third Proportional to 82,922 and 194,908

Step by Step Solution

1. Step 1: Write the proportion equation
   82,922 : 194,908 = 194,908 : x
2. Step 2: Convert to fraction form
   82,922/194,908 = 194,908/x
3. Step 3: Cross multiply
   82,922x = 194,908 × 194,908
4. Step 4: Simplify right side
   82,922x = 37,989,128,464
5. Step 5: Solve for x
   x = 37,989,128,464/82,922
6. Step 6: Final answer
   x = 458,130.88