Finding the Third Proportional to 194,443.50 and 261,532.50

Step by Step Solution

1. Step 1: Write the proportion equation
   194,443.50 : 261,532.50 = 261,532.50 : x
2. Step 2: Convert to fraction form
   194,443.50/261,532.50 = 261,532.50/x
3. Step 3: Cross multiply
   194,443.50x = 261,532.50 × 261,532.50
4. Step 4: Simplify right side
   194,443.50x = 68,399,248,556.25
5. Step 5: Solve for x
   x = 68,399,248,556.25/194,443.50
6. Step 6: Final answer
   x = 351,769.27