Finding the Third Proportional to 98,913 and 146,196

Step by Step Solution

1. Step 1: Write the proportion equation
   98,913 : 146,196 = 146,196 : x
2. Step 2: Convert to fraction form
   98,913/146,196 = 146,196/x
3. Step 3: Cross multiply
   98,913x = 146,196 × 146,196
4. Step 4: Simplify right side
   98,913x = 21,373,270,416
5. Step 5: Solve for x
   x = 21,373,270,416/98,913
6. Step 6: Final answer
   x = 216,081.51