Finding the Third Proportional to 133,727.50 and 293,697

Step by Step Solution

1. Step 1: Write the proportion equation
   133,727.50 : 293,697 = 293,697 : x
2. Step 2: Convert to fraction form
   133,727.50/293,697 = 293,697/x
3. Step 3: Cross multiply
   133,727.50x = 293,697 × 293,697
4. Step 4: Simplify right side
   133,727.50x = 86,257,927,809
5. Step 5: Solve for x
   x = 86,257,927,809/133,727.50
6. Step 6: Final answer
   x = 645,027.60