Finding the Third Proportional to 262,984 and 385,196

Step by Step Solution

1. Step 1: Write the proportion equation
   262,984 : 385,196 = 385,196 : x
2. Step 2: Convert to fraction form
   262,984/385,196 = 385,196/x
3. Step 3: Cross multiply
   262,984x = 385,196 × 385,196
4. Step 4: Simplify right side
   262,984x = 148,375,958,416
5. Step 5: Solve for x
   x = 148,375,958,416/262,984
6. Step 6: Final answer
   x = 564,201.47