Finding the Third Proportional to 83,009.81 and 183,462.56

Step by Step Solution

1. Step 1: Write the proportion equation
   83,009.81 : 183,462.56 = 183,462.56 : x
2. Step 2: Convert to fraction form
   83,009.81/183,462.56 = 183,462.56/x
3. Step 3: Cross multiply
   83,009.81x = 183,462.56 × 183,462.56
4. Step 4: Simplify right side
   83,009.81x = 33,658,511,839.07
5. Step 5: Solve for x
   x = 33,658,511,839.07/83,009.81
6. Step 6: Final answer
   x = 405,476.30