Finding the Third Proportional to 106,667.51 and 233,018.02

Step by Step Solution

1. Step 1: Write the proportion equation
   106,667.51 : 233,018.02 = 233,018.02 : x
2. Step 2: Convert to fraction form
   106,667.51/233,018.02 = 233,018.02/x
3. Step 3: Cross multiply
   106,667.51x = 233,018.02 × 233,018.02
4. Step 4: Simplify right side
   106,667.51x = 54,297,395,605.81
5. Step 5: Solve for x
   x = 54,297,395,605.81/106,667.51
6. Step 6: Final answer
   x = 509,034.07