Finding the Third Proportional to 116,834 and 175,054.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,834 : 175,054.50 = 175,054.50 : x
2. Step 2: Convert to fraction form
   116,834/175,054.50 = 175,054.50/x
3. Step 3: Cross multiply
   116,834x = 175,054.50 × 175,054.50
4. Step 4: Simplify right side
   116,834x = 30,644,077,970.25
5. Step 5: Solve for x
   x = 30,644,077,970.25/116,834
6. Step 6: Final answer
   x = 262,287.33