Finding the Third Proportional to 134,824.50 and 199,584

Step by Step Solution

1. Step 1: Write the proportion equation
   134,824.50 : 199,584 = 199,584 : x
2. Step 2: Convert to fraction form
   134,824.50/199,584 = 199,584/x
3. Step 3: Cross multiply
   134,824.50x = 199,584 × 199,584
4. Step 4: Simplify right side
   134,824.50x = 39,833,773,056
5. Step 5: Solve for x
   x = 39,833,773,056/134,824.50
6. Step 6: Final answer
   x = 295,449.07