Finding the Third Proportional to 98,068 and 146,970

Step by Step Solution

1. Step 1: Write the proportion equation
   98,068 : 146,970 = 146,970 : x
2. Step 2: Convert to fraction form
   98,068/146,970 = 146,970/x
3. Step 3: Cross multiply
   98,068x = 146,970 × 146,970
4. Step 4: Simplify right side
   98,068x = 21,600,180,900
5. Step 5: Solve for x
   x = 21,600,180,900/98,068
6. Step 6: Final answer
   x = 220,257.18