Finding the Third Proportional to 302,574 and 401,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   302,574 : 401,368.50 = 401,368.50 : x
2. Step 2: Convert to fraction form
   302,574/401,368.50 = 401,368.50/x
3. Step 3: Cross multiply
   302,574x = 401,368.50 × 401,368.50
4. Step 4: Simplify right side
   302,574x = 161,096,672,792.25
5. Step 5: Solve for x
   x = 161,096,672,792.25/302,574
6. Step 6: Final answer
   x = 532,420.74