Finding the Third Proportional to 107,196.75 and 233,075.81

Step by Step Solution

1. Step 1: Write the proportion equation
   107,196.75 : 233,075.81 = 233,075.81 : x
2. Step 2: Convert to fraction form
   107,196.75/233,075.81 = 233,075.81/x
3. Step 3: Cross multiply
   107,196.75x = 233,075.81 × 233,075.81
4. Step 4: Simplify right side
   107,196.75x = 54,324,334,372.54
5. Step 5: Solve for x
   x = 54,324,334,372.54/107,196.75
6. Step 6: Final answer
   x = 506,772.21