Finding the Third Proportional to 94,314 and 206,118

Step by Step Solution

1. Step 1: Write the proportion equation
   94,314 : 206,118 = 206,118 : x
2. Step 2: Convert to fraction form
   94,314/206,118 = 206,118/x
3. Step 3: Cross multiply
   94,314x = 206,118 × 206,118
4. Step 4: Simplify right side
   94,314x = 42,484,629,924
5. Step 5: Solve for x
   x = 42,484,629,924/94,314
6. Step 6: Final answer
   x = 450,459.42