Finding the Third Proportional to 127,297 and 265,054

Step by Step Solution

1. Step 1: Write the proportion equation
   127,297 : 265,054 = 265,054 : x
2. Step 2: Convert to fraction form
   127,297/265,054 = 265,054/x
3. Step 3: Cross multiply
   127,297x = 265,054 × 265,054
4. Step 4: Simplify right side
   127,297x = 70,253,622,916
5. Step 5: Solve for x
   x = 70,253,622,916/127,297
6. Step 6: Final answer
   x = 551,887.50