Finding the Third Proportional to 78,796 and 118,254

Step by Step Solution

1. Step 1: Write the proportion equation
   78,796 : 118,254 = 118,254 : x
2. Step 2: Convert to fraction form
   78,796/118,254 = 118,254/x
3. Step 3: Cross multiply
   78,796x = 118,254 × 118,254
4. Step 4: Simplify right side
   78,796x = 13,984,008,516
5. Step 5: Solve for x
   x = 13,984,008,516/78,796
6. Step 6: Final answer
   x = 177,471.05