Finding the Third Proportional to 114,643 and 185,723

Step by Step Solution

1. Step 1: Write the proportion equation
   114,643 : 185,723 = 185,723 : x
2. Step 2: Convert to fraction form
   114,643/185,723 = 185,723/x
3. Step 3: Cross multiply
   114,643x = 185,723 × 185,723
4. Step 4: Simplify right side
   114,643x = 34,493,032,729
5. Step 5: Solve for x
   x = 34,493,032,729/114,643
6. Step 6: Final answer
   x = 300,873.43