Finding the Third Proportional to 122,238.50 and 194,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,238.50 : 194,505.50 = 194,505.50 : x
2. Step 2: Convert to fraction form
   122,238.50/194,505.50 = 194,505.50/x
3. Step 3: Cross multiply
   122,238.50x = 194,505.50 × 194,505.50
4. Step 4: Simplify right side
   122,238.50x = 37,832,389,530.25
5. Step 5: Solve for x
   x = 37,832,389,530.25/122,238.50
6. Step 6: Final answer
   x = 309,496.51