Finding the Third Proportional to 80,617 and 175,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,617 : 175,038.50 = 175,038.50 : x
2. Step 2: Convert to fraction form
   80,617/175,038.50 = 175,038.50/x
3. Step 3: Cross multiply
   80,617x = 175,038.50 × 175,038.50
4. Step 4: Simplify right side
   80,617x = 30,638,476,482.25
5. Step 5: Solve for x
   x = 30,638,476,482.25/80,617
6. Step 6: Final answer
   x = 380,049.82