Finding the Third Proportional to 83,049 and 194,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,049 : 194,968.50 = 194,968.50 : x
2. Step 2: Convert to fraction form
   83,049/194,968.50 = 194,968.50/x
3. Step 3: Cross multiply
   83,049x = 194,968.50 × 194,968.50
4. Step 4: Simplify right side
   83,049x = 38,012,715,992.25
5. Step 5: Solve for x
   x = 38,012,715,992.25/83,049
6. Step 6: Final answer
   x = 457,714.31