Finding the Third Proportional to 82,910.25 and 194,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,910.25 : 194,899.50 = 194,899.50 : x
2. Step 2: Convert to fraction form
   82,910.25/194,899.50 = 194,899.50/x
3. Step 3: Cross multiply
   82,910.25x = 194,899.50 × 194,899.50
4. Step 4: Simplify right side
   82,910.25x = 37,985,815,100.25
5. Step 5: Solve for x
   x = 37,985,815,100.25/82,910.25
6. Step 6: Final answer
   x = 458,155.84