Finding the Third Proportional to 238,564 and 365,490

Step by Step Solution

1. Step 1: Write the proportion equation
   238,564 : 365,490 = 365,490 : x
2. Step 2: Convert to fraction form
   238,564/365,490 = 365,490/x
3. Step 3: Cross multiply
   238,564x = 365,490 × 365,490
4. Step 4: Simplify right side
   238,564x = 133,582,940,100
5. Step 5: Solve for x
   x = 133,582,940,100/238,564
6. Step 6: Final answer
   x = 559,945.93