Finding the Third Proportional to 302,562 and 401,353.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,562 : 401,353.50 = 401,353.50 : x
2. Step 2: Convert to fraction form
   302,562/401,353.50 = 401,353.50/x
3. Step 3: Cross multiply
   302,562x = 401,353.50 × 401,353.50
4. Step 4: Simplify right side
   302,562x = 161,084,631,962.25
5. Step 5: Solve for x
   x = 161,084,631,962.25/302,562
6. Step 6: Final answer
   x = 532,402.06