Finding the Third Proportional to 98,406 and 152,794

Step by Step Solution

1. Step 1: Write the proportion equation
   98,406 : 152,794 = 152,794 : x
2. Step 2: Convert to fraction form
   98,406/152,794 = 152,794/x
3. Step 3: Cross multiply
   98,406x = 152,794 × 152,794
4. Step 4: Simplify right side
   98,406x = 23,346,006,436
5. Step 5: Solve for x
   x = 23,346,006,436/98,406
6. Step 6: Final answer
   x = 237,241.70