Finding the Third Proportional to 133,709 and 293,658.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,709 : 293,658.50 = 293,658.50 : x
2. Step 2: Convert to fraction form
   133,709/293,658.50 = 293,658.50/x
3. Step 3: Cross multiply
   133,709x = 293,658.50 × 293,658.50
4. Step 4: Simplify right side
   133,709x = 86,235,314,622.25
5. Step 5: Solve for x
   x = 86,235,314,622.25/133,709
6. Step 6: Final answer
   x = 644,947.72