Finding the Third Proportional to 119,745 and 199,566.75

Step by Step Solution

1. Step 1: Write the proportion equation
   119,745 : 199,566.75 = 199,566.75 : x
2. Step 2: Convert to fraction form
   119,745/199,566.75 = 199,566.75/x
3. Step 3: Cross multiply
   119,745x = 199,566.75 × 199,566.75
4. Step 4: Simplify right side
   119,745x = 39,826,887,705.56
5. Step 5: Solve for x
   x = 39,826,887,705.56/119,745
6. Step 6: Final answer
   x = 332,597.50