Finding the Third Proportional to 123,818 and 185,729

Step by Step Solution

1. Step 1: Write the proportion equation
   123,818 : 185,729 = 185,729 : x
2. Step 2: Convert to fraction form
   123,818/185,729 = 185,729/x
3. Step 3: Cross multiply
   123,818x = 185,729 × 185,729
4. Step 4: Simplify right side
   123,818x = 34,495,261,441
5. Step 5: Solve for x
   x = 34,495,261,441/123,818
6. Step 6: Final answer
   x = 278,596.50