Finding the Third Proportional to 116,738 and 178,496

Step by Step Solution

1. Step 1: Write the proportion equation
   116,738 : 178,496 = 178,496 : x
2. Step 2: Convert to fraction form
   116,738/178,496 = 178,496/x
3. Step 3: Cross multiply
   116,738x = 178,496 × 178,496
4. Step 4: Simplify right side
   116,738x = 31,860,822,016
5. Step 5: Solve for x
   x = 31,860,822,016/116,738
6. Step 6: Final answer
   x = 272,925.89