Finding the Third Proportional to 262,632 and 382,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   262,632 : 382,462.50 = 382,462.50 : x
2. Step 2: Convert to fraction form
   262,632/382,462.50 = 382,462.50/x
3. Step 3: Cross multiply
   262,632x = 382,462.50 × 382,462.50
4. Step 4: Simplify right side
   262,632x = 146,277,563,906.25
5. Step 5: Solve for x
   x = 146,277,563,906.25/262,632
6. Step 6: Final answer
   x = 556,967.79