Finding the Third Proportional to 123,652 and 186,633

Step by Step Solution

1. Step 1: Write the proportion equation
   123,652 : 186,633 = 186,633 : x
2. Step 2: Convert to fraction form
   123,652/186,633 = 186,633/x
3. Step 3: Cross multiply
   123,652x = 186,633 × 186,633
4. Step 4: Simplify right side
   123,652x = 34,831,876,689
5. Step 5: Solve for x
   x = 34,831,876,689/123,652
6. Step 6: Final answer
   x = 281,692.79