Finding the Third Proportional to 98,854 and 153,196

Step by Step Solution

1. Step 1: Write the proportion equation
   98,854 : 153,196 = 153,196 : x
2. Step 2: Convert to fraction form
   98,854/153,196 = 153,196/x
3. Step 3: Cross multiply
   98,854x = 153,196 × 153,196
4. Step 4: Simplify right side
   98,854x = 23,469,014,416
5. Step 5: Solve for x
   x = 23,469,014,416/98,854
6. Step 6: Final answer
   x = 237,410.87