Finding the Third Proportional to 83,049.75 and 194,971.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,049.75 : 194,971.50 = 194,971.50 : x
2. Step 2: Convert to fraction form
   83,049.75/194,971.50 = 194,971.50/x
3. Step 3: Cross multiply
   83,049.75x = 194,971.50 × 194,971.50
4. Step 4: Simplify right side
   83,049.75x = 38,013,885,812.25
5. Step 5: Solve for x
   x = 38,013,885,812.25/83,049.75
6. Step 6: Final answer
   x = 457,724.27