Finding the Third Proportional to 193,581 and 284,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,581 : 284,017.50 = 284,017.50 : x
2. Step 2: Convert to fraction form
   193,581/284,017.50 = 284,017.50/x
3. Step 3: Cross multiply
   193,581x = 284,017.50 × 284,017.50
4. Step 4: Simplify right side
   193,581x = 80,665,940,306.25
5. Step 5: Solve for x
   x = 80,665,940,306.25/193,581
6. Step 6: Final answer
   x = 416,703.81