Finding the Third Proportional to 185,727.25 and 407,056

Step by Step Solution

1. Step 1: Write the proportion equation
   185,727.25 : 407,056 = 407,056 : x
2. Step 2: Convert to fraction form
   185,727.25/407,056 = 407,056/x
3. Step 3: Cross multiply
   185,727.25x = 407,056 × 407,056
4. Step 4: Simplify right side
   185,727.25x = 165,694,587,136
5. Step 5: Solve for x
   x = 165,694,587,136/185,727.25
6. Step 6: Final answer
   x = 892,139.34