Finding the Third Proportional to 107,838.75 and 233,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,838.75 : 233,527.50 = 233,527.50 : x
2. Step 2: Convert to fraction form
   107,838.75/233,527.50 = 233,527.50/x
3. Step 3: Cross multiply
   107,838.75x = 233,527.50 × 233,527.50
4. Step 4: Simplify right side
   107,838.75x = 54,535,093,256.25
5. Step 5: Solve for x
   x = 54,535,093,256.25/107,838.75
6. Step 6: Final answer
   x = 505,709.62