Finding the Third Proportional to 78,502 and 118,726

Step by Step Solution

1. Step 1: Write the proportion equation
   78,502 : 118,726 = 118,726 : x
2. Step 2: Convert to fraction form
   78,502/118,726 = 118,726/x
3. Step 3: Cross multiply
   78,502x = 118,726 × 118,726
4. Step 4: Simplify right side
   78,502x = 14,095,863,076
5. Step 5: Solve for x
   x = 14,095,863,076/78,502
6. Step 6: Final answer
   x = 179,560.56