Finding the Third Proportional to 98,476 and 152,771

Step by Step Solution

1. Step 1: Write the proportion equation
   98,476 : 152,771 = 152,771 : x
2. Step 2: Convert to fraction form
   98,476/152,771 = 152,771/x
3. Step 3: Cross multiply
   98,476x = 152,771 × 152,771
4. Step 4: Simplify right side
   98,476x = 23,338,978,441
5. Step 5: Solve for x
   x = 23,338,978,441/98,476
6. Step 6: Final answer
   x = 237,001.69