Finding the Third Proportional to 98,967 and 152,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,967 : 152,896.50 = 152,896.50 : x
2. Step 2: Convert to fraction form
   98,967/152,896.50 = 152,896.50/x
3. Step 3: Cross multiply
   98,967x = 152,896.50 × 152,896.50
4. Step 4: Simplify right side
   98,967x = 23,377,339,712.25
5. Step 5: Solve for x
   x = 23,377,339,712.25/98,967
6. Step 6: Final answer
   x = 236,213.48