Finding the Third Proportional to 115,300 and 178,140

Step by Step Solution

1. Step 1: Write the proportion equation
   115,300 : 178,140 = 178,140 : x
2. Step 2: Convert to fraction form
   115,300/178,140 = 178,140/x
3. Step 3: Cross multiply
   115,300x = 178,140 × 178,140
4. Step 4: Simplify right side
   115,300x = 31,733,859,600
5. Step 5: Solve for x
   x = 31,733,859,600/115,300
6. Step 6: Final answer
   x = 275,228.62