Finding the Third Proportional to 123,610 and 185,536

Step by Step Solution

1. Step 1: Write the proportion equation
   123,610 : 185,536 = 185,536 : x
2. Step 2: Convert to fraction form
   123,610/185,536 = 185,536/x
3. Step 3: Cross multiply
   123,610x = 185,536 × 185,536
4. Step 4: Simplify right side
   123,610x = 34,423,607,296
5. Step 5: Solve for x
   x = 34,423,607,296/123,610
6. Step 6: Final answer
   x = 278,485.62