Finding the Third Proportional to 121,887 and 194,636.25

Step by Step Solution

1. Step 1: Write the proportion equation
   121,887 : 194,636.25 = 194,636.25 : x
2. Step 2: Convert to fraction form
   121,887/194,636.25 = 194,636.25/x
3. Step 3: Cross multiply
   121,887x = 194,636.25 × 194,636.25
4. Step 4: Simplify right side
   121,887x = 37,883,269,814.06
5. Step 5: Solve for x
   x = 37,883,269,814.06/121,887
6. Step 6: Final answer
   x = 310,806.48