Finding the Third Proportional to 185,946.50 and 406,453

Step by Step Solution

1. Step 1: Write the proportion equation
   185,946.50 : 406,453 = 406,453 : x
2. Step 2: Convert to fraction form
   185,946.50/406,453 = 406,453/x
3. Step 3: Cross multiply
   185,946.50x = 406,453 × 406,453
4. Step 4: Simplify right side
   185,946.50x = 165,204,041,209
5. Step 5: Solve for x
   x = 165,204,041,209/185,946.50
6. Step 6: Final answer
   x = 888,449.32