Finding the Third Proportional to 81,395 and 174,470.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,395 : 174,470.50 = 174,470.50 : x
2. Step 2: Convert to fraction form
   81,395/174,470.50 = 174,470.50/x
3. Step 3: Cross multiply
   81,395x = 174,470.50 × 174,470.50
4. Step 4: Simplify right side
   81,395x = 30,439,955,370.25
5. Step 5: Solve for x
   x = 30,439,955,370.25/81,395
6. Step 6: Final answer
   x = 373,978.20