Finding the Third Proportional to 301,528 and 409,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,528 : 409,501.50 = 409,501.50 : x
2. Step 2: Convert to fraction form
   301,528/409,501.50 = 409,501.50/x
3. Step 3: Cross multiply
   301,528x = 409,501.50 × 409,501.50
4. Step 4: Simplify right side
   301,528x = 167,691,478,502.25
5. Step 5: Solve for x
   x = 167,691,478,502.25/301,528
6. Step 6: Final answer
   x = 556,138.99