Finding the Third Proportional to 102,978 and 240,585

Step by Step Solution

1. Step 1: Write the proportion equation
   102,978 : 240,585 = 240,585 : x
2. Step 2: Convert to fraction form
   102,978/240,585 = 240,585/x
3. Step 3: Cross multiply
   102,978x = 240,585 × 240,585
4. Step 4: Simplify right side
   102,978x = 57,881,142,225
5. Step 5: Solve for x
   x = 57,881,142,225/102,978
6. Step 6: Final answer
   x = 562,072.89