Finding the Third Proportional to 94,224 and 205,054

Step by Step Solution

1. Step 1: Write the proportion equation
   94,224 : 205,054 = 205,054 : x
2. Step 2: Convert to fraction form
   94,224/205,054 = 205,054/x
3. Step 3: Cross multiply
   94,224x = 205,054 × 205,054
4. Step 4: Simplify right side
   94,224x = 42,047,142,916
5. Step 5: Solve for x
   x = 42,047,142,916/94,224
6. Step 6: Final answer
   x = 446,246.63