Finding the Third Proportional to 131,766 and 289,774

Step by Step Solution

1. Step 1: Write the proportion equation
   131,766 : 289,774 = 289,774 : x
2. Step 2: Convert to fraction form
   131,766/289,774 = 289,774/x
3. Step 3: Cross multiply
   131,766x = 289,774 × 289,774
4. Step 4: Simplify right side
   131,766x = 83,968,971,076
5. Step 5: Solve for x
   x = 83,968,971,076/131,766
6. Step 6: Final answer
   x = 637,258.25