Finding the Third Proportional to 80,292 and 174,883.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,292 : 174,883.50 = 174,883.50 : x
2. Step 2: Convert to fraction form
   80,292/174,883.50 = 174,883.50/x
3. Step 3: Cross multiply
   80,292x = 174,883.50 × 174,883.50
4. Step 4: Simplify right side
   80,292x = 30,584,238,572.25
5. Step 5: Solve for x
   x = 30,584,238,572.25/80,292
6. Step 6: Final answer
   x = 380,912.65