Finding the Third Proportional to 96,274.50 and 214,686

Step by Step Solution

1. Step 1: Write the proportion equation
   96,274.50 : 214,686 = 214,686 : x
2. Step 2: Convert to fraction form
   96,274.50/214,686 = 214,686/x
3. Step 3: Cross multiply
   96,274.50x = 214,686 × 214,686
4. Step 4: Simplify right side
   96,274.50x = 46,090,078,596
5. Step 5: Solve for x
   x = 46,090,078,596/96,274.50
6. Step 6: Final answer
   x = 478,736.10