Finding the Third Proportional to 78,441 and 118,387.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,441 : 118,387.50 = 118,387.50 : x
2. Step 2: Convert to fraction form
   78,441/118,387.50 = 118,387.50/x
3. Step 3: Cross multiply
   78,441x = 118,387.50 × 118,387.50
4. Step 4: Simplify right side
   78,441x = 14,015,600,156.25
5. Step 5: Solve for x
   x = 14,015,600,156.25/78,441
6. Step 6: Final answer
   x = 178,676.97