Finding the Third Proportional to 143,527.50 and 205,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   143,527.50 : 205,447.50 = 205,447.50 : x
2. Step 2: Convert to fraction form
   143,527.50/205,447.50 = 205,447.50/x
3. Step 3: Cross multiply
   143,527.50x = 205,447.50 × 205,447.50
4. Step 4: Simplify right side
   143,527.50x = 42,208,675,256.25
5. Step 5: Solve for x
   x = 42,208,675,256.25/143,527.50
6. Step 6: Final answer
   x = 294,080.75