Finding the Third Proportional to 401,772 and 545,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,772 : 545,653.50 = 545,653.50 : x
2. Step 2: Convert to fraction form
   401,772/545,653.50 = 545,653.50/x
3. Step 3: Cross multiply
   401,772x = 545,653.50 × 545,653.50
4. Step 4: Simplify right side
   401,772x = 297,737,742,062.25
5. Step 5: Solve for x
   x = 297,737,742,062.25/401,772
6. Step 6: Final answer
   x = 741,061.45