Finding the Third Proportional to 122,106 and 189,049.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,106 : 189,049.50 = 189,049.50 : x
2. Step 2: Convert to fraction form
   122,106/189,049.50 = 189,049.50/x
3. Step 3: Cross multiply
   122,106x = 189,049.50 × 189,049.50
4. Step 4: Simplify right side
   122,106x = 35,739,713,450.25
5. Step 5: Solve for x
   x = 35,739,713,450.25/122,106
6. Step 6: Final answer
   x = 292,694.16