Finding the Third Proportional to 98,846 and 152,997

Step by Step Solution

1. Step 1: Write the proportion equation
   98,846 : 152,997 = 152,997 : x
2. Step 2: Convert to fraction form
   98,846/152,997 = 152,997/x
3. Step 3: Cross multiply
   98,846x = 152,997 × 152,997
4. Step 4: Simplify right side
   98,846x = 23,408,082,009
5. Step 5: Solve for x
   x = 23,408,082,009/98,846
6. Step 6: Final answer
   x = 236,813.65