Finding the Third Proportional to 154,724.50 and 208,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   154,724.50 : 208,758.50 = 208,758.50 : x
2. Step 2: Convert to fraction form
   154,724.50/208,758.50 = 208,758.50/x
3. Step 3: Cross multiply
   154,724.50x = 208,758.50 × 208,758.50
4. Step 4: Simplify right side
   154,724.50x = 43,580,111,322.25
5. Step 5: Solve for x
   x = 43,580,111,322.25/154,724.50
6. Step 6: Final answer
   x = 281,662.64