Finding the Third Proportional to 127,605.38 and 178,814.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127,605.38 : 178,814.25 = 178,814.25 : x
2. Step 2: Convert to fraction form
   127,605.38/178,814.25 = 178,814.25/x
3. Step 3: Cross multiply
   127,605.38x = 178,814.25 × 178,814.25
4. Step 4: Simplify right side
   127,605.38x = 31,974,536,003.06
5. Step 5: Solve for x
   x = 31,974,536,003.06/127,605.38
6. Step 6: Final answer
   x = 250,573.58