Finding the Third Proportional to 262,605 and 382,425.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,605 : 382,425.50 = 382,425.50 : x
2. Step 2: Convert to fraction form
   262,605/382,425.50 = 382,425.50/x
3. Step 3: Cross multiply
   262,605x = 382,425.50 × 382,425.50
4. Step 4: Simplify right side
   262,605x = 146,249,263,050.25
5. Step 5: Solve for x
   x = 146,249,263,050.25/262,605
6. Step 6: Final answer
   x = 556,917.28