Finding the Third Proportional to 103,634 and 222,364

Step by Step Solution

1. Step 1: Write the proportion equation
   103,634 : 222,364 = 222,364 : x
2. Step 2: Convert to fraction form
   103,634/222,364 = 222,364/x
3. Step 3: Cross multiply
   103,634x = 222,364 × 222,364
4. Step 4: Simplify right side
   103,634x = 49,445,748,496
5. Step 5: Solve for x
   x = 49,445,748,496/103,634
6. Step 6: Final answer
   x = 477,118.98