Finding the Third Proportional to 83,280 and 127,008

Step by Step Solution

1. Step 1: Write the proportion equation
   83,280 : 127,008 = 127,008 : x
2. Step 2: Convert to fraction form
   83,280/127,008 = 127,008/x
3. Step 3: Cross multiply
   83,280x = 127,008 × 127,008
4. Step 4: Simplify right side
   83,280x = 16,131,032,064
5. Step 5: Solve for x
   x = 16,131,032,064/83,280
6. Step 6: Final answer
   x = 193,696.35