Finding the Third Proportional to 301,308 and 413,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,308 : 413,164.50 = 413,164.50 : x
2. Step 2: Convert to fraction form
   301,308/413,164.50 = 413,164.50/x
3. Step 3: Cross multiply
   301,308x = 413,164.50 × 413,164.50
4. Step 4: Simplify right side
   301,308x = 170,704,904,060.25
5. Step 5: Solve for x
   x = 170,704,904,060.25/301,308
6. Step 6: Final answer
   x = 566,546.21