Finding the Third Proportional to 115,109 and 178,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,109 : 178,641.50 = 178,641.50 : x
2. Step 2: Convert to fraction form
   115,109/178,641.50 = 178,641.50/x
3. Step 3: Cross multiply
   115,109x = 178,641.50 × 178,641.50
4. Step 4: Simplify right side
   115,109x = 31,912,785,522.25
5. Step 5: Solve for x
   x = 31,912,785,522.25/115,109
6. Step 6: Final answer
   x = 277,239.71