Finding the Third Proportional to 105,116 and 233,560

Step by Step Solution

1. Step 1: Write the proportion equation
   105,116 : 233,560 = 233,560 : x
2. Step 2: Convert to fraction form
   105,116/233,560 = 233,560/x
3. Step 3: Cross multiply
   105,116x = 233,560 × 233,560
4. Step 4: Simplify right side
   105,116x = 54,550,273,600
5. Step 5: Solve for x
   x = 54,550,273,600/105,116
6. Step 6: Final answer
   x = 518,953.10