Finding the Third Proportional to 122,374.50 and 189,099

Step by Step Solution

1. Step 1: Write the proportion equation
   122,374.50 : 189,099 = 189,099 : x
2. Step 2: Convert to fraction form
   122,374.50/189,099 = 189,099/x
3. Step 3: Cross multiply
   122,374.50x = 189,099 × 189,099
4. Step 4: Simplify right side
   122,374.50x = 35,758,431,801
5. Step 5: Solve for x
   x = 35,758,431,801/122,374.50
6. Step 6: Final answer
   x = 292,204.93