Finding the Third Proportional to 101,653 and 222,932

Step by Step Solution

1. Step 1: Write the proportion equation
   101,653 : 222,932 = 222,932 : x
2. Step 2: Convert to fraction form
   101,653/222,932 = 222,932/x
3. Step 3: Cross multiply
   101,653x = 222,932 × 222,932
4. Step 4: Simplify right side
   101,653x = 49,698,676,624
5. Step 5: Solve for x
   x = 49,698,676,624/101,653
6. Step 6: Final answer
   x = 488,905.16