Finding the Third Proportional to 105,268.50 and 233,865

Step by Step Solution

1. Step 1: Write the proportion equation
   105,268.50 : 233,865 = 233,865 : x
2. Step 2: Convert to fraction form
   105,268.50/233,865 = 233,865/x
3. Step 3: Cross multiply
   105,268.50x = 233,865 × 233,865
4. Step 4: Simplify right side
   105,268.50x = 54,692,838,225
5. Step 5: Solve for x
   x = 54,692,838,225/105,268.50
6. Step 6: Final answer
   x = 519,555.60