Finding the Third Proportional to 80,541 and 174,916.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,541 : 174,916.50 = 174,916.50 : x
2. Step 2: Convert to fraction form
   80,541/174,916.50 = 174,916.50/x
3. Step 3: Cross multiply
   80,541x = 174,916.50 × 174,916.50
4. Step 4: Simplify right side
   80,541x = 30,595,781,972.25
5. Step 5: Solve for x
   x = 30,595,781,972.25/80,541
6. Step 6: Final answer
   x = 379,878.35