Finding the Third Proportional to 123,052 and 189,771

Step by Step Solution

1. Step 1: Write the proportion equation
   123,052 : 189,771 = 189,771 : x
2. Step 2: Convert to fraction form
   123,052/189,771 = 189,771/x
3. Step 3: Cross multiply
   123,052x = 189,771 × 189,771
4. Step 4: Simplify right side
   123,052x = 36,013,032,441
5. Step 5: Solve for x
   x = 36,013,032,441/123,052
6. Step 6: Final answer
   x = 292,665.15