Finding the Third Proportional to 123,692 and 185,213

Step by Step Solution

1. Step 1: Write the proportion equation
   123,692 : 185,213 = 185,213 : x
2. Step 2: Convert to fraction form
   123,692/185,213 = 185,213/x
3. Step 3: Cross multiply
   123,692x = 185,213 × 185,213
4. Step 4: Simplify right side
   123,692x = 34,303,855,369
5. Step 5: Solve for x
   x = 34,303,855,369/123,692
6. Step 6: Final answer
   x = 277,332.85