Finding the Third Proportional to 138,480 and 301,264

Step by Step Solution

1. Step 1: Write the proportion equation
   138,480 : 301,264 = 301,264 : x
2. Step 2: Convert to fraction form
   138,480/301,264 = 301,264/x
3. Step 3: Cross multiply
   138,480x = 301,264 × 301,264
4. Step 4: Simplify right side
   138,480x = 90,759,997,696
5. Step 5: Solve for x
   x = 90,759,997,696/138,480
6. Step 6: Final answer
   x = 655,401.49