Finding the Third Proportional to 76,851 and 117,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,851 : 117,608.50 = 117,608.50 : x
2. Step 2: Convert to fraction form
   76,851/117,608.50 = 117,608.50/x
3. Step 3: Cross multiply
   76,851x = 117,608.50 × 117,608.50
4. Step 4: Simplify right side
   76,851x = 13,831,759,272.25
5. Step 5: Solve for x
   x = 13,831,759,272.25/76,851
6. Step 6: Final answer
   x = 179,981.51