Finding the Third Proportional to 122,941 and 189,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,941 : 189,869.50 = 189,869.50 : x
2. Step 2: Convert to fraction form
   122,941/189,869.50 = 189,869.50/x
3. Step 3: Cross multiply
   122,941x = 189,869.50 × 189,869.50
4. Step 4: Simplify right side
   122,941x = 36,050,427,030.25
5. Step 5: Solve for x
   x = 36,050,427,030.25/122,941
6. Step 6: Final answer
   x = 293,233.56