Finding the Third Proportional to 122,124 and 194,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,124 : 194,269.50 = 194,269.50 : x
2. Step 2: Convert to fraction form
   122,124/194,269.50 = 194,269.50/x
3. Step 3: Cross multiply
   122,124x = 194,269.50 × 194,269.50
4. Step 4: Simplify right side
   122,124x = 37,740,638,630.25
5. Step 5: Solve for x
   x = 37,740,638,630.25/122,124
6. Step 6: Final answer
   x = 309,035.40