Finding the Third Proportional to 83,019.38 and 178,133.06

Step by Step Solution

1. Step 1: Write the proportion equation
   83,019.38 : 178,133.06 = 178,133.06 : x
2. Step 2: Convert to fraction form
   83,019.38/178,133.06 = 178,133.06/x
3. Step 3: Cross multiply
   83,019.38x = 178,133.06 × 178,133.06
4. Step 4: Simplify right side
   83,019.38x = 31,731,387,955.63
5. Step 5: Solve for x
   x = 31,731,387,955.63/83,019.38
6. Step 6: Final answer
   x = 382,216.66