Finding the Third Proportional to 116,253 and 175,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,253 : 175,234.50 = 175,234.50 : x
2. Step 2: Convert to fraction form
   116,253/175,234.50 = 175,234.50/x
3. Step 3: Cross multiply
   116,253x = 175,234.50 × 175,234.50
4. Step 4: Simplify right side
   116,253x = 30,707,129,990.25
5. Step 5: Solve for x
   x = 30,707,129,990.25/116,253
6. Step 6: Final answer
   x = 264,140.54