Finding the Third Proportional to 122,718 and 189,679.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,718 : 189,679.50 = 189,679.50 : x
2. Step 2: Convert to fraction form
   122,718/189,679.50 = 189,679.50/x
3. Step 3: Cross multiply
   122,718x = 189,679.50 × 189,679.50
4. Step 4: Simplify right side
   122,718x = 35,978,312,720.25
5. Step 5: Solve for x
   x = 35,978,312,720.25/122,718
6. Step 6: Final answer
   x = 293,178.77