Finding the Third Proportional to 98,588 and 152,512

Step by Step Solution

1. Step 1: Write the proportion equation
   98,588 : 152,512 = 152,512 : x
2. Step 2: Convert to fraction form
   98,588/152,512 = 152,512/x
3. Step 3: Cross multiply
   98,588x = 152,512 × 152,512
4. Step 4: Simplify right side
   98,588x = 23,259,910,144
5. Step 5: Solve for x
   x = 23,259,910,144/98,588
6. Step 6: Final answer
   x = 235,930.44