Finding the Third Proportional to 184,226 and 382,300

Step by Step Solution

1. Step 1: Write the proportion equation
   184,226 : 382,300 = 382,300 : x
2. Step 2: Convert to fraction form
   184,226/382,300 = 382,300/x
3. Step 3: Cross multiply
   184,226x = 382,300 × 382,300
4. Step 4: Simplify right side
   184,226x = 146,153,290,000
5. Step 5: Solve for x
   x = 146,153,290,000/184,226
6. Step 6: Final answer
   x = 793,336.93