Finding the Third Proportional to 105,118 and 233,564

Step by Step Solution

1. Step 1: Write the proportion equation
   105,118 : 233,564 = 233,564 : x
2. Step 2: Convert to fraction form
   105,118/233,564 = 233,564/x
3. Step 3: Cross multiply
   105,118x = 233,564 × 233,564
4. Step 4: Simplify right side
   105,118x = 54,552,142,096
5. Step 5: Solve for x
   x = 54,552,142,096/105,118
6. Step 6: Final answer
   x = 518,961.00