Finding the Third Proportional to 94,314 and 205,224

Step by Step Solution

1. Step 1: Write the proportion equation
   94,314 : 205,224 = 205,224 : x
2. Step 2: Convert to fraction form
   94,314/205,224 = 205,224/x
3. Step 3: Cross multiply
   94,314x = 205,224 × 205,224
4. Step 4: Simplify right side
   94,314x = 42,116,890,176
5. Step 5: Solve for x
   x = 42,116,890,176/94,314
6. Step 6: Final answer
   x = 446,560.32