Finding the Third Proportional to 188,100 and 402,084

Step by Step Solution

1. Step 1: Write the proportion equation
   188,100 : 402,084 = 402,084 : x
2. Step 2: Convert to fraction form
   188,100/402,084 = 402,084/x
3. Step 3: Cross multiply
   188,100x = 402,084 × 402,084
4. Step 4: Simplify right side
   188,100x = 161,671,543,056
5. Step 5: Solve for x
   x = 161,671,543,056/188,100
6. Step 6: Final answer
   x = 859,497.84