Finding the Third Proportional to 145,872 and 208,584

Step by Step Solution

1. Step 1: Write the proportion equation
   145,872 : 208,584 = 208,584 : x
2. Step 2: Convert to fraction form
   145,872/208,584 = 208,584/x
3. Step 3: Cross multiply
   145,872x = 208,584 × 208,584
4. Step 4: Simplify right side
   145,872x = 43,507,285,056
5. Step 5: Solve for x
   x = 43,507,285,056/145,872
6. Step 6: Final answer
   x = 298,256.59