Finding the Third Proportional to 294,840 and 447,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   294,840 : 447,727.50 = 447,727.50 : x
2. Step 2: Convert to fraction form
   294,840/447,727.50 = 447,727.50/x
3. Step 3: Cross multiply
   294,840x = 447,727.50 × 447,727.50
4. Step 4: Simplify right side
   294,840x = 200,459,914,256.25
5. Step 5: Solve for x
   x = 200,459,914,256.25/294,840
6. Step 6: Final answer
   x = 679,893.89