Finding the Third Proportional to 83,147 and 188,490

Step by Step Solution

1. Step 1: Write the proportion equation
   83,147 : 188,490 = 188,490 : x
2. Step 2: Convert to fraction form
   83,147/188,490 = 188,490/x
3. Step 3: Cross multiply
   83,147x = 188,490 × 188,490
4. Step 4: Simplify right side
   83,147x = 35,528,480,100
5. Step 5: Solve for x
   x = 35,528,480,100/83,147
6. Step 6: Final answer
   x = 427,297.20