Finding the Third Proportional to 135,636 and 294,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,636 : 294,622.50 = 294,622.50 : x
2. Step 2: Convert to fraction form
   135,636/294,622.50 = 294,622.50/x
3. Step 3: Cross multiply
   135,636x = 294,622.50 × 294,622.50
4. Step 4: Simplify right side
   135,636x = 86,802,417,506.25
5. Step 5: Solve for x
   x = 86,802,417,506.25/135,636
6. Step 6: Final answer
   x = 639,965.92