Finding the Third Proportional to 82,900.97 and 194,867.02

Step by Step Solution

1. Step 1: Write the proportion equation
   82,900.97 : 194,867.02 = 194,867.02 : x
2. Step 2: Convert to fraction form
   82,900.97/194,867.02 = 194,867.02/x
3. Step 3: Cross multiply
   82,900.97x = 194,867.02 × 194,867.02
4. Step 4: Simplify right side
   82,900.97x = 37,973,153,778.59
5. Step 5: Solve for x
   x = 37,973,153,778.59/82,900.97
6. Step 6: Final answer
   x = 458,054.40