Finding the Third Proportional to 83,535 and 180,111

Step by Step Solution

1. Step 1: Write the proportion equation
   83,535 : 180,111 = 180,111 : x
2. Step 2: Convert to fraction form
   83,535/180,111 = 180,111/x
3. Step 3: Cross multiply
   83,535x = 180,111 × 180,111
4. Step 4: Simplify right side
   83,535x = 32,439,972,321
5. Step 5: Solve for x
   x = 32,439,972,321/83,535
6. Step 6: Final answer
   x = 388,339.89