Finding the Third Proportional to 180,888 and 388,018.50

Step by Step Solution

1. Step 1: Write the proportion equation
   180,888 : 388,018.50 = 388,018.50 : x
2. Step 2: Convert to fraction form
   180,888/388,018.50 = 388,018.50/x
3. Step 3: Cross multiply
   180,888x = 388,018.50 × 388,018.50
4. Step 4: Simplify right side
   180,888x = 150,558,356,342.25
5. Step 5: Solve for x
   x = 150,558,356,342.25/180,888
6. Step 6: Final answer
   x = 832,329.16