Finding the Third Proportional to 82,930 and 194,928

Step by Step Solution

1. Step 1: Write the proportion equation
   82,930 : 194,928 = 194,928 : x
2. Step 2: Convert to fraction form
   82,930/194,928 = 194,928/x
3. Step 3: Cross multiply
   82,930x = 194,928 × 194,928
4. Step 4: Simplify right side
   82,930x = 37,996,925,184
5. Step 5: Solve for x
   x = 37,996,925,184/82,930
6. Step 6: Final answer
   x = 458,180.70