Finding the Third Proportional to 145,820 and 208,522

Step by Step Solution

1. Step 1: Write the proportion equation
   145,820 : 208,522 = 208,522 : x
2. Step 2: Convert to fraction form
   145,820/208,522 = 208,522/x
3. Step 3: Cross multiply
   145,820x = 208,522 × 208,522
4. Step 4: Simplify right side
   145,820x = 43,481,424,484
5. Step 5: Solve for x
   x = 43,481,424,484/145,820
6. Step 6: Final answer
   x = 298,185.60