Finding the Third Proportional to 78,818 and 118,230

Step by Step Solution

1. Step 1: Write the proportion equation
   78,818 : 118,230 = 118,230 : x
2. Step 2: Convert to fraction form
   78,818/118,230 = 118,230/x
3. Step 3: Cross multiply
   78,818x = 118,230 × 118,230
4. Step 4: Simplify right side
   78,818x = 13,978,332,900
5. Step 5: Solve for x
   x = 13,978,332,900/78,818
6. Step 6: Final answer
   x = 177,349.50