Finding the Third Proportional to 78,776 and 118,223

Step by Step Solution

1. Step 1: Write the proportion equation
   78,776 : 118,223 = 118,223 : x
2. Step 2: Convert to fraction form
   78,776/118,223 = 118,223/x
3. Step 3: Cross multiply
   78,776x = 118,223 × 118,223
4. Step 4: Simplify right side
   78,776x = 13,976,677,729
5. Step 5: Solve for x
   x = 13,976,677,729/78,776
6. Step 6: Final answer
   x = 177,423.04