Finding the Third Proportional to 416.50 and 592.00

Step by Step Solution

1. Step 1: Write the proportion equation
   416.50 : 592.00 = 592.00 : x
2. Step 2: Convert to fraction form
   416.50/592.00 = 592.00/x
3. Step 3: Cross multiply
   416.50x = 592.00 × 592.00
4. Step 4: Simplify right side
   416.50x = 350,459.38
5. Step 5: Solve for x
   x = 350,459.38/416.50
6. Step 6: Final answer
   x = 841.45