Finding the Third Proportional to 107,085 and 222,594

Step by Step Solution

1. Step 1: Write the proportion equation
   107,085 : 222,594 = 222,594 : x
2. Step 2: Convert to fraction form
   107,085/222,594 = 222,594/x
3. Step 3: Cross multiply
   107,085x = 222,594 × 222,594
4. Step 4: Simplify right side
   107,085x = 49,548,088,836
5. Step 5: Solve for x
   x = 49,548,088,836/107,085
6. Step 6: Final answer
   x = 462,698.69