Finding the Third Proportional to 409,188 and 550,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   409,188 : 550,429.50 = 550,429.50 : x
2. Step 2: Convert to fraction form
   409,188/550,429.50 = 550,429.50/x
3. Step 3: Cross multiply
   409,188x = 550,429.50 × 550,429.50
4. Step 4: Simplify right side
   409,188x = 302,972,634,470.25
5. Step 5: Solve for x
   x = 302,972,634,470.25/409,188
6. Step 6: Final answer
   x = 740,424.05