Finding the Third Proportional to 123,300 and 290,886

Step by Step Solution

1. Step 1: Write the proportion equation
   123,300 : 290,886 = 290,886 : x
2. Step 2: Convert to fraction form
   123,300/290,886 = 290,886/x
3. Step 3: Cross multiply
   123,300x = 290,886 × 290,886
4. Step 4: Simplify right side
   123,300x = 84,614,664,996
5. Step 5: Solve for x
   x = 84,614,664,996/123,300
6. Step 6: Final answer
   x = 686,250.32