Finding the Third Proportional to 101,292 and 222,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,292 : 222,022.50 = 222,022.50 : x
2. Step 2: Convert to fraction form
   101,292/222,022.50 = 222,022.50/x
3. Step 3: Cross multiply
   101,292x = 222,022.50 × 222,022.50
4. Step 4: Simplify right side
   101,292x = 49,293,990,506.25
5. Step 5: Solve for x
   x = 49,293,990,506.25/101,292
6. Step 6: Final answer
   x = 486,652.36