Finding the Third Proportional to 80,415 and 118,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,415 : 118,215.50 = 118,215.50 : x
2. Step 2: Convert to fraction form
   80,415/118,215.50 = 118,215.50/x
3. Step 3: Cross multiply
   80,415x = 118,215.50 × 118,215.50
4. Step 4: Simplify right side
   80,415x = 13,974,904,440.25
5. Step 5: Solve for x
   x = 13,974,904,440.25/80,415
6. Step 6: Final answer
   x = 173,784.80