Finding the Third Proportional to 83,114 and 182,848

Step by Step Solution

1. Step 1: Write the proportion equation
   83,114 : 182,848 = 182,848 : x
2. Step 2: Convert to fraction form
   83,114/182,848 = 182,848/x
3. Step 3: Cross multiply
   83,114x = 182,848 × 182,848
4. Step 4: Simplify right side
   83,114x = 33,433,391,104
5. Step 5: Solve for x
   x = 33,433,391,104/83,114
6. Step 6: Final answer
   x = 402,259.44