Finding the Third Proportional to 83,057 and 194,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,057 : 194,989.50 = 194,989.50 : x
2. Step 2: Convert to fraction form
   83,057/194,989.50 = 194,989.50/x
3. Step 3: Cross multiply
   83,057x = 194,989.50 × 194,989.50
4. Step 4: Simplify right side
   83,057x = 38,020,905,110.25
5. Step 5: Solve for x
   x = 38,020,905,110.25/83,057
6. Step 6: Final answer
   x = 457,768.82