Finding the Third Proportional to 191,760 and 300,829.50

Step by Step Solution

1. Step 1: Write the proportion equation
   191,760 : 300,829.50 = 300,829.50 : x
2. Step 2: Convert to fraction form
   191,760/300,829.50 = 300,829.50/x
3. Step 3: Cross multiply
   191,760x = 300,829.50 × 300,829.50
4. Step 4: Simplify right side
   191,760x = 90,498,388,070.25
5. Step 5: Solve for x
   x = 90,498,388,070.25/191,760
6. Step 6: Final answer
   x = 471,935.69