Finding the Third Proportional to 98,012 and 146,294

Step by Step Solution

1. Step 1: Write the proportion equation
   98,012 : 146,294 = 146,294 : x
2. Step 2: Convert to fraction form
   98,012/146,294 = 146,294/x
3. Step 3: Cross multiply
   98,012x = 146,294 × 146,294
4. Step 4: Simplify right side
   98,012x = 21,401,934,436
5. Step 5: Solve for x
   x = 21,401,934,436/98,012
6. Step 6: Final answer
   x = 218,360.35