Finding the Third Proportional to 84,780 and 181,152

Step by Step Solution

1. Step 1: Write the proportion equation
   84,780 : 181,152 = 181,152 : x
2. Step 2: Convert to fraction form
   84,780/181,152 = 181,152/x
3. Step 3: Cross multiply
   84,780x = 181,152 × 181,152
4. Step 4: Simplify right side
   84,780x = 32,816,047,104
5. Step 5: Solve for x
   x = 32,816,047,104/84,780
6. Step 6: Final answer
   x = 387,072.98