Finding the Third Proportional to 121,636 and 193,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,636 : 193,696.50 = 193,696.50 : x
2. Step 2: Convert to fraction form
   121,636/193,696.50 = 193,696.50/x
3. Step 3: Cross multiply
   121,636x = 193,696.50 × 193,696.50
4. Step 4: Simplify right side
   121,636x = 37,518,334,112.25
5. Step 5: Solve for x
   x = 37,518,334,112.25/121,636
6. Step 6: Final answer
   x = 308,447.62