Finding the Third Proportional to 123,157 and 185,616.75

Step by Step Solution

1. Step 1: Write the proportion equation
   123,157 : 185,616.75 = 185,616.75 : x
2. Step 2: Convert to fraction form
   123,157/185,616.75 = 185,616.75/x
3. Step 3: Cross multiply
   123,157x = 185,616.75 × 185,616.75
4. Step 4: Simplify right side
   123,157x = 34,453,577,880.56
5. Step 5: Solve for x
   x = 34,453,577,880.56/123,157
6. Step 6: Final answer
   x = 279,753.31