Finding the Third Proportional to 127,178 and 274,038

Step by Step Solution

1. Step 1: Write the proportion equation
   127,178 : 274,038 = 274,038 : x
2. Step 2: Convert to fraction form
   127,178/274,038 = 274,038/x
3. Step 3: Cross multiply
   127,178x = 274,038 × 274,038
4. Step 4: Simplify right side
   127,178x = 75,096,825,444
5. Step 5: Solve for x
   x = 75,096,825,444/127,178
6. Step 6: Final answer
   x = 590,485.98