Finding the Third Proportional to 200,184 and 235,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   200,184 : 235,477.50 = 235,477.50 : x
2. Step 2: Convert to fraction form
   200,184/235,477.50 = 235,477.50/x
3. Step 3: Cross multiply
   200,184x = 235,477.50 × 235,477.50
4. Step 4: Simplify right side
   200,184x = 55,449,653,006.25
5. Step 5: Solve for x
   x = 55,449,653,006.25/200,184
6. Step 6: Final answer
   x = 276,993.43