Finding the Third Proportional to 75,981.89 and 175,884.42

Step by Step Solution

1. Step 1: Write the proportion equation
   75,981.89 : 175,884.42 = 175,884.42 : x
2. Step 2: Convert to fraction form
   75,981.89/175,884.42 = 175,884.42/x
3. Step 3: Cross multiply
   75,981.89x = 175,884.42 × 175,884.42
4. Step 4: Simplify right side
   75,981.89x = 30,935,329,858.30
5. Step 5: Solve for x
   x = 30,935,329,858.30/75,981.89
6. Step 6: Final answer
   x = 407,140.83