Finding the Third Proportional to 401,895 and 545,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,895 : 545,824.50 = 545,824.50 : x
2. Step 2: Convert to fraction form
   401,895/545,824.50 = 545,824.50/x
3. Step 3: Cross multiply
   401,895x = 545,824.50 × 545,824.50
4. Step 4: Simplify right side
   401,895x = 297,924,384,800.25
5. Step 5: Solve for x
   x = 297,924,384,800.25/401,895
6. Step 6: Final answer
   x = 741,299.06