Finding the Third Proportional to 380,166 and 816,492

Step by Step Solution

1. Step 1: Write the proportion equation
   380,166 : 816,492 = 816,492 : x
2. Step 2: Convert to fraction form
   380,166/816,492 = 816,492/x
3. Step 3: Cross multiply
   380,166x = 816,492 × 816,492
4. Step 4: Simplify right side
   380,166x = 666,659,186,064
5. Step 5: Solve for x
   x = 666,659,186,064/380,166
6. Step 6: Final answer
   x = 1,753,600.23