Finding the Third Proportional to 121,972.50 and 194,238

Step by Step Solution

1. Step 1: Write the proportion equation
   121,972.50 : 194,238 = 194,238 : x
2. Step 2: Convert to fraction form
   121,972.50/194,238 = 194,238/x
3. Step 3: Cross multiply
   121,972.50x = 194,238 × 194,238
4. Step 4: Simplify right side
   121,972.50x = 37,728,400,644
5. Step 5: Solve for x
   x = 37,728,400,644/121,972.50
6. Step 6: Final answer
   x = 309,318.91