Finding the Third Proportional to 116,847 and 175,072.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,847 : 175,072.50 = 175,072.50 : x
2. Step 2: Convert to fraction form
   116,847/175,072.50 = 175,072.50/x
3. Step 3: Cross multiply
   116,847x = 175,072.50 × 175,072.50
4. Step 4: Simplify right side
   116,847x = 30,650,380,256.25
5. Step 5: Solve for x
   x = 30,650,380,256.25/116,847
6. Step 6: Final answer
   x = 262,312.09