Finding the Third Proportional to 83,130 and 182,262

Step by Step Solution

1. Step 1: Write the proportion equation
   83,130 : 182,262 = 182,262 : x
2. Step 2: Convert to fraction form
   83,130/182,262 = 182,262/x
3. Step 3: Cross multiply
   83,130x = 182,262 × 182,262
4. Step 4: Simplify right side
   83,130x = 33,219,436,644
5. Step 5: Solve for x
   x = 33,219,436,644/83,130
6. Step 6: Final answer
   x = 399,608.28