Finding the Third Proportional to 401,850 and 545,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,850 : 545,764.50 = 545,764.50 : x
2. Step 2: Convert to fraction form
   401,850/545,764.50 = 545,764.50/x
3. Step 3: Cross multiply
   401,850x = 545,764.50 × 545,764.50
4. Step 4: Simplify right side
   401,850x = 297,858,889,460.25
5. Step 5: Solve for x
   x = 297,858,889,460.25/401,850
6. Step 6: Final answer
   x = 741,219.09