Finding the Third Proportional to 135,109.50 and 294,001.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,109.50 : 294,001.50 = 294,001.50 : x
2. Step 2: Convert to fraction form
   135,109.50/294,001.50 = 294,001.50/x
3. Step 3: Cross multiply
   135,109.50x = 294,001.50 × 294,001.50
4. Step 4: Simplify right side
   135,109.50x = 86,436,882,002.25
5. Step 5: Solve for x
   x = 86,436,882,002.25/135,109.50
6. Step 6: Final answer
   x = 639,754.29