Finding the Third Proportional to 80,888.50 and 175,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,888.50 : 175,748.50 = 175,748.50 : x
2. Step 2: Convert to fraction form
   80,888.50/175,748.50 = 175,748.50/x
3. Step 3: Cross multiply
   80,888.50x = 175,748.50 × 175,748.50
4. Step 4: Simplify right side
   80,888.50x = 30,887,535,252.25
5. Step 5: Solve for x
   x = 30,887,535,252.25/80,888.50
6. Step 6: Final answer
   x = 381,853.23