Finding the Third Proportional to 105,122 and 233,572

Step by Step Solution

1. Step 1: Write the proportion equation
   105,122 : 233,572 = 233,572 : x
2. Step 2: Convert to fraction form
   105,122/233,572 = 233,572/x
3. Step 3: Cross multiply
   105,122x = 233,572 × 233,572
4. Step 4: Simplify right side
   105,122x = 54,555,879,184
5. Step 5: Solve for x
   x = 54,555,879,184/105,122
6. Step 6: Final answer
   x = 518,976.80