Finding the Third Proportional to 191,785 and 300,199.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,785 : 300,199.50 = 300,199.50 : x
2. Step 2: Convert to fraction form
   191,785/300,199.50 = 300,199.50/x
3. Step 3: Cross multiply
   191,785x = 300,199.50 × 300,199.50
4. Step 4: Simplify right side
   191,785x = 90,119,739,800.25
5. Step 5: Solve for x
   x = 90,119,739,800.25/191,785
6. Step 6: Final answer
   x = 469,899.83