Finding the Third Proportional to 94,380 and 206,262

Step by Step Solution

1. Step 1: Write the proportion equation
   94,380 : 206,262 = 206,262 : x
2. Step 2: Convert to fraction form
   94,380/206,262 = 206,262/x
3. Step 3: Cross multiply
   94,380x = 206,262 × 206,262
4. Step 4: Simplify right side
   94,380x = 42,544,012,644
5. Step 5: Solve for x
   x = 42,544,012,644/94,380
6. Step 6: Final answer
   x = 450,773.60