Finding the Third Proportional to 121,827 and 194,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,827 : 194,404.50 = 194,404.50 : x
2. Step 2: Convert to fraction form
   121,827/194,404.50 = 194,404.50/x
3. Step 3: Cross multiply
   121,827x = 194,404.50 × 194,404.50
4. Step 4: Simplify right side
   121,827x = 37,793,109,620.25
5. Step 5: Solve for x
   x = 37,793,109,620.25/121,827
6. Step 6: Final answer
   x = 310,219.49