Finding the Third Proportional to 83,553.94 and 180,426.56

Step by Step Solution

1. Step 1: Write the proportion equation
   83,553.94 : 180,426.56 = 180,426.56 : x
2. Step 2: Convert to fraction form
   83,553.94/180,426.56 = 180,426.56/x
3. Step 3: Cross multiply
   83,553.94x = 180,426.56 × 180,426.56
4. Step 4: Simplify right side
   83,553.94x = 32,553,744,455.57
5. Step 5: Solve for x
   x = 32,553,744,455.57/83,553.94
6. Step 6: Final answer
   x = 389,613.53