Finding the Third Proportional to 94,644 and 208,492

Step by Step Solution

1. Step 1: Write the proportion equation
   94,644 : 208,492 = 208,492 : x
2. Step 2: Convert to fraction form
   94,644/208,492 = 208,492/x
3. Step 3: Cross multiply
   94,644x = 208,492 × 208,492
4. Step 4: Simplify right side
   94,644x = 43,468,914,064
5. Step 5: Solve for x
   x = 43,468,914,064/94,644
6. Step 6: Final answer
   x = 459,288.64