Finding the Third Proportional to 78,885 and 118,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,885 : 118,363.50 = 118,363.50 : x
2. Step 2: Convert to fraction form
   78,885/118,363.50 = 118,363.50/x
3. Step 3: Cross multiply
   78,885x = 118,363.50 × 118,363.50
4. Step 4: Simplify right side
   78,885x = 14,009,918,132.25
5. Step 5: Solve for x
   x = 14,009,918,132.25/78,885
6. Step 6: Final answer
   x = 177,599.27