Finding the Third Proportional to 82,927 and 194,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,927 : 194,920.50 = 194,920.50 : x
2. Step 2: Convert to fraction form
   82,927/194,920.50 = 194,920.50/x
3. Step 3: Cross multiply
   82,927x = 194,920.50 × 194,920.50
4. Step 4: Simplify right side
   82,927x = 37,994,001,320.25
5. Step 5: Solve for x
   x = 37,994,001,320.25/82,927
6. Step 6: Final answer
   x = 458,162.01