Finding the Third Proportional to 115,869 and 179,316.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,869 : 179,316.50 = 179,316.50 : x
2. Step 2: Convert to fraction form
   115,869/179,316.50 = 179,316.50/x
3. Step 3: Cross multiply
   115,869x = 179,316.50 × 179,316.50
4. Step 4: Simplify right side
   115,869x = 32,154,407,172.25
5. Step 5: Solve for x
   x = 32,154,407,172.25/115,869
6. Step 6: Final answer
   x = 277,506.56