Finding the Third Proportional to 105,917.63 and 233,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,917.63 : 233,158.50 = 233,158.50 : x
2. Step 2: Convert to fraction form
   105,917.63/233,158.50 = 233,158.50/x
3. Step 3: Cross multiply
   105,917.63x = 233,158.50 × 233,158.50
4. Step 4: Simplify right side
   105,917.63x = 54,362,886,122.25
5. Step 5: Solve for x
   x = 54,362,886,122.25/105,917.63
6. Step 6: Final answer
   x = 513,256.28