Finding the Third Proportional to 190,536 and 406,380

Step by Step Solution

1. Step 1: Write the proportion equation
   190,536 : 406,380 = 406,380 : x
2. Step 2: Convert to fraction form
   190,536/406,380 = 406,380/x
3. Step 3: Cross multiply
   190,536x = 406,380 × 406,380
4. Step 4: Simplify right side
   190,536x = 165,144,704,400
5. Step 5: Solve for x
   x = 165,144,704,400/190,536
6. Step 6: Final answer
   x = 866,737.54