Finding the Third Proportional to 119,756.25 and 199,584

Step by Step Solution

1. Step 1: Write the proportion equation
   119,756.25 : 199,584 = 199,584 : x
2. Step 2: Convert to fraction form
   119,756.25/199,584 = 199,584/x
3. Step 3: Cross multiply
   119,756.25x = 199,584 × 199,584
4. Step 4: Simplify right side
   119,756.25x = 39,833,773,056
5. Step 5: Solve for x
   x = 39,833,773,056/119,756.25
6. Step 6: Final answer
   x = 332,623.75