Finding the Third Proportional to 94,322 and 205,492

Step by Step Solution

1. Step 1: Write the proportion equation
   94,322 : 205,492 = 205,492 : x
2. Step 2: Convert to fraction form
   94,322/205,492 = 205,492/x
3. Step 3: Cross multiply
   94,322x = 205,492 × 205,492
4. Step 4: Simplify right side
   94,322x = 42,226,962,064
5. Step 5: Solve for x
   x = 42,226,962,064/94,322
6. Step 6: Final answer
   x = 447,689.43