Finding the Third Proportional to 78,840 and 122,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,840 : 122,404.50 = 122,404.50 : x
2. Step 2: Convert to fraction form
   78,840/122,404.50 = 122,404.50/x
3. Step 3: Cross multiply
   78,840x = 122,404.50 × 122,404.50
4. Step 4: Simplify right side
   78,840x = 14,982,861,620.25
5. Step 5: Solve for x
   x = 14,982,861,620.25/78,840
6. Step 6: Final answer
   x = 190,041.37