Finding the Third Proportional to 250,196 and 377,462

Step by Step Solution

1. Step 1: Write the proportion equation
   250,196 : 377,462 = 377,462 : x
2. Step 2: Convert to fraction form
   250,196/377,462 = 377,462/x
3. Step 3: Cross multiply
   250,196x = 377,462 × 377,462
4. Step 4: Simplify right side
   250,196x = 142,477,561,444
5. Step 5: Solve for x
   x = 142,477,561,444/250,196
6. Step 6: Final answer
   x = 569,463.79