Finding the Third Proportional to 80,413 and 118,212.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,413 : 118,212.50 = 118,212.50 : x
2. Step 2: Convert to fraction form
   80,413/118,212.50 = 118,212.50/x
3. Step 3: Cross multiply
   80,413x = 118,212.50 × 118,212.50
4. Step 4: Simplify right side
   80,413x = 13,974,195,156.25
5. Step 5: Solve for x
   x = 13,974,195,156.25/80,413
6. Step 6: Final answer
   x = 173,780.30