Finding the Third Proportional to 121,638 and 193,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,638 : 193,699.50 = 193,699.50 : x
2. Step 2: Convert to fraction form
   121,638/193,699.50 = 193,699.50/x
3. Step 3: Cross multiply
   121,638x = 193,699.50 × 193,699.50
4. Step 4: Simplify right side
   121,638x = 37,519,496,300.25
5. Step 5: Solve for x
   x = 37,519,496,300.25/121,638
6. Step 6: Final answer
   x = 308,452.10