Finding the Third Proportional to 78,828 and 182,301

Step by Step Solution

1. Step 1: Write the proportion equation
   78,828 : 182,301 = 182,301 : x
2. Step 2: Convert to fraction form
   78,828/182,301 = 182,301/x
3. Step 3: Cross multiply
   78,828x = 182,301 × 182,301
4. Step 4: Simplify right side
   78,828x = 33,233,654,601
5. Step 5: Solve for x
   x = 33,233,654,601/78,828
6. Step 6: Final answer
   x = 421,597.08