Finding the Third Proportional to 123,818 and 289,310

Step by Step Solution

1. Step 1: Write the proportion equation
   123,818 : 289,310 = 289,310 : x
2. Step 2: Convert to fraction form
   123,818/289,310 = 289,310/x
3. Step 3: Cross multiply
   123,818x = 289,310 × 289,310
4. Step 4: Simplify right side
   123,818x = 83,700,276,100
5. Step 5: Solve for x
   x = 83,700,276,100/123,818
6. Step 6: Final answer
   x = 675,994.41