Finding the Third Proportional to 80,138 and 171,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,138 : 171,393.50 = 171,393.50 : x
2. Step 2: Convert to fraction form
   80,138/171,393.50 = 171,393.50/x
3. Step 3: Cross multiply
   80,138x = 171,393.50 × 171,393.50
4. Step 4: Simplify right side
   80,138x = 29,375,731,842.25
5. Step 5: Solve for x
   x = 29,375,731,842.25/80,138
6. Step 6: Final answer
   x = 366,564.32