Finding the Third Proportional to 122,427 and 189,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,427 : 189,175.50 = 189,175.50 : x
2. Step 2: Convert to fraction form
   122,427/189,175.50 = 189,175.50/x
3. Step 3: Cross multiply
   122,427x = 189,175.50 × 189,175.50
4. Step 4: Simplify right side
   122,427x = 35,787,369,800.25
5. Step 5: Solve for x
   x = 35,787,369,800.25/122,427
6. Step 6: Final answer
   x = 292,315.99