Finding the Third Proportional to 123,296 and 290,960

Step by Step Solution

1. Step 1: Write the proportion equation
   123,296 : 290,960 = 290,960 : x
2. Step 2: Convert to fraction form
   123,296/290,960 = 290,960/x
3. Step 3: Cross multiply
   123,296x = 290,960 × 290,960
4. Step 4: Simplify right side
   123,296x = 84,657,721,600
5. Step 5: Solve for x
   x = 84,657,721,600/123,296
6. Step 6: Final answer
   x = 686,621.80