Finding the Third Proportional to 83,191.50 and 182,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,191.50 : 182,974.50 = 182,974.50 : x
2. Step 2: Convert to fraction form
   83,191.50/182,974.50 = 182,974.50/x
3. Step 3: Cross multiply
   83,191.50x = 182,974.50 × 182,974.50
4. Step 4: Simplify right side
   83,191.50x = 33,479,667,650.25
5. Step 5: Solve for x
   x = 33,479,667,650.25/83,191.50
6. Step 6: Final answer
   x = 402,440.97