Finding the Third Proportional to 82,913.63 and 194,891.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82,913.63 : 194,891.06 = 194,891.06 : x
2. Step 2: Convert to fraction form
   82,913.63/194,891.06 = 194,891.06/x
3. Step 3: Cross multiply
   82,913.63x = 194,891.06 × 194,891.06
4. Step 4: Simplify right side
   82,913.63x = 37,982,526,242.38
5. Step 5: Solve for x
   x = 37,982,526,242.38/82,913.63
6. Step 6: Final answer
   x = 458,097.52