Finding the Third Proportional to 155,698.50 and 209,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   155,698.50 : 209,212.50 = 209,212.50 : x
2. Step 2: Convert to fraction form
   155,698.50/209,212.50 = 209,212.50/x
3. Step 3: Cross multiply
   155,698.50x = 209,212.50 × 209,212.50
4. Step 4: Simplify right side
   155,698.50x = 43,769,870,156.25
5. Step 5: Solve for x
   x = 43,769,870,156.25/155,698.50
6. Step 6: Final answer
   x = 281,119.41