Finding the Third Proportional to 127,830 and 272,064

Step by Step Solution

1. Step 1: Write the proportion equation
   127,830 : 272,064 = 272,064 : x
2. Step 2: Convert to fraction form
   127,830/272,064 = 272,064/x
3. Step 3: Cross multiply
   127,830x = 272,064 × 272,064
4. Step 4: Simplify right side
   127,830x = 74,018,820,096
5. Step 5: Solve for x
   x = 74,018,820,096/127,830
6. Step 6: Final answer
   x = 579,041.07