Finding the Third Proportional to 106,683.75 and 233,050.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,683.75 : 233,050.50 = 233,050.50 : x
2. Step 2: Convert to fraction form
   106,683.75/233,050.50 = 233,050.50/x
3. Step 3: Cross multiply
   106,683.75x = 233,050.50 × 233,050.50
4. Step 4: Simplify right side
   106,683.75x = 54,312,535,550.25
5. Step 5: Solve for x
   x = 54,312,535,550.25/106,683.75
6. Step 6: Final answer
   x = 509,098.49