Finding the Third Proportional to 115,384.50 and 174,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,384.50 : 174,613.50 = 174,613.50 : x
2. Step 2: Convert to fraction form
   115,384.50/174,613.50 = 174,613.50/x
3. Step 3: Cross multiply
   115,384.50x = 174,613.50 × 174,613.50
4. Step 4: Simplify right side
   115,384.50x = 30,489,874,382.25
5. Step 5: Solve for x
   x = 30,489,874,382.25/115,384.50
6. Step 6: Final answer
   x = 264,245.84