Finding the Third Proportional to 116,837 and 175,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,837 : 175,056.50 = 175,056.50 : x
2. Step 2: Convert to fraction form
   116,837/175,056.50 = 175,056.50/x
3. Step 3: Cross multiply
   116,837x = 175,056.50 × 175,056.50
4. Step 4: Simplify right side
   116,837x = 30,644,778,192.25
5. Step 5: Solve for x
   x = 30,644,778,192.25/116,837
6. Step 6: Final answer
   x = 262,286.59