Finding the Third Proportional to 135,741 and 289,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   135,741 : 289,513.50 = 289,513.50 : x
2. Step 2: Convert to fraction form
   135,741/289,513.50 = 289,513.50/x
3. Step 3: Cross multiply
   135,741x = 289,513.50 × 289,513.50
4. Step 4: Simplify right side
   135,741x = 83,818,066,682.25
5. Step 5: Solve for x
   x = 83,818,066,682.25/135,741
6. Step 6: Final answer
   x = 617,485.26