Finding the Third Proportional to 80,502 and 174,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,502 : 174,832.50 = 174,832.50 : x
2. Step 2: Convert to fraction form
   80,502/174,832.50 = 174,832.50/x
3. Step 3: Cross multiply
   80,502x = 174,832.50 × 174,832.50
4. Step 4: Simplify right side
   80,502x = 30,566,403,056.25
5. Step 5: Solve for x
   x = 30,566,403,056.25/80,502
6. Step 6: Final answer
   x = 379,697.44