Finding the Third Proportional to 105,688 and 230,978

Step by Step Solution

1. Step 1: Write the proportion equation
   105,688 : 230,978 = 230,978 : x
2. Step 2: Convert to fraction form
   105,688/230,978 = 230,978/x
3. Step 3: Cross multiply
   105,688x = 230,978 × 230,978
4. Step 4: Simplify right side
   105,688x = 53,350,836,484
5. Step 5: Solve for x
   x = 53,350,836,484/105,688
6. Step 6: Final answer
   x = 504,795.59