Finding the Third Proportional to 98,906 and 146,184

Step by Step Solution

1. Step 1: Write the proportion equation
   98,906 : 146,184 = 146,184 : x
2. Step 2: Convert to fraction form
   98,906/146,184 = 146,184/x
3. Step 3: Cross multiply
   98,906x = 146,184 × 146,184
4. Step 4: Simplify right side
   98,906x = 21,369,761,856
5. Step 5: Solve for x
   x = 21,369,761,856/98,906
6. Step 6: Final answer
   x = 216,061.33