Finding the Third Proportional to 193,524 and 299,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   193,524 : 299,035.50 = 299,035.50 : x
2. Step 2: Convert to fraction form
   193,524/299,035.50 = 299,035.50/x
3. Step 3: Cross multiply
   193,524x = 299,035.50 × 299,035.50
4. Step 4: Simplify right side
   193,524x = 89,422,230,260.25
5. Step 5: Solve for x
   x = 89,422,230,260.25/193,524
6. Step 6: Final answer
   x = 462,073.08