Finding the Third Proportional to 138,294 and 301,721.63

Step by Step Solution

1. Step 1: Write the proportion equation
   138,294 : 301,721.63 = 301,721.63 : x
2. Step 2: Convert to fraction form
   138,294/301,721.63 = 301,721.63/x
3. Step 3: Cross multiply
   138,294x = 301,721.63 × 301,721.63
4. Step 4: Simplify right side
   138,294x = 91,035,938,992.64
5. Step 5: Solve for x
   x = 91,035,938,992.64/138,294
6. Step 6: Final answer
   x = 658,278.30