Finding the Third Proportional to 301,173 and 401,509.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,173 : 401,509.50 = 401,509.50 : x
2. Step 2: Convert to fraction form
   301,173/401,509.50 = 401,509.50/x
3. Step 3: Cross multiply
   301,173x = 401,509.50 × 401,509.50
4. Step 4: Simplify right side
   301,173x = 161,209,878,590.25
5. Step 5: Solve for x
   x = 161,209,878,590.25/301,173
6. Step 6: Final answer
   x = 535,273.34