Finding the Third Proportional to 133,710 and 293,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   133,710 : 293,665.50 = 293,665.50 : x
2. Step 2: Convert to fraction form
   133,710/293,665.50 = 293,665.50/x
3. Step 3: Cross multiply
   133,710x = 293,665.50 × 293,665.50
4. Step 4: Simplify right side
   133,710x = 86,239,425,890.25
5. Step 5: Solve for x
   x = 86,239,425,890.25/133,710
6. Step 6: Final answer
   x = 644,973.64