Finding the Third Proportional to 74,082.38 and 174,805.88

Step by Step Solution

1. Step 1: Write the proportion equation
   74,082.38 : 174,805.88 = 174,805.88 : x
2. Step 2: Convert to fraction form
   74,082.38/174,805.88 = 174,805.88/x
3. Step 3: Cross multiply
   74,082.38x = 174,805.88 × 174,805.88
4. Step 4: Simplify right side
   74,082.38x = 30,557,093,934.52
5. Step 5: Solve for x
   x = 30,557,093,934.52/74,082.38
6. Step 6: Final answer
   x = 412,474.55