Finding the Third Proportional to 123,820 and 185,732

Step by Step Solution

1. Step 1: Write the proportion equation
   123,820 : 185,732 = 185,732 : x
2. Step 2: Convert to fraction form
   123,820/185,732 = 185,732/x
3. Step 3: Cross multiply
   123,820x = 185,732 × 185,732
4. Step 4: Simplify right side
   123,820x = 34,496,375,824
5. Step 5: Solve for x
   x = 34,496,375,824/123,820
6. Step 6: Final answer
   x = 278,601.00