Finding the Third Proportional to 91,769.50 and 202,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,769.50 : 202,164.50 = 202,164.50 : x
2. Step 2: Convert to fraction form
   91,769.50/202,164.50 = 202,164.50/x
3. Step 3: Cross multiply
   91,769.50x = 202,164.50 × 202,164.50
4. Step 4: Simplify right side
   91,769.50x = 40,870,485,060.25
5. Step 5: Solve for x
   x = 40,870,485,060.25/91,769.50
6. Step 6: Final answer
   x = 445,360.22