Finding the Third Proportional to 401,620 and 535,433.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,620 : 535,433.50 = 535,433.50 : x
2. Step 2: Convert to fraction form
   401,620/535,433.50 = 535,433.50/x
3. Step 3: Cross multiply
   401,620x = 535,433.50 × 535,433.50
4. Step 4: Simplify right side
   401,620x = 286,689,032,922.25
5. Step 5: Solve for x
   x = 286,689,032,922.25/401,620
6. Step 6: Final answer
   x = 713,831.56