Finding the Third Proportional to 115,776 and 174,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,776 : 174,892.50 = 174,892.50 : x
2. Step 2: Convert to fraction form
   115,776/174,892.50 = 174,892.50/x
3. Step 3: Cross multiply
   115,776x = 174,892.50 × 174,892.50
4. Step 4: Simplify right side
   115,776x = 30,587,386,556.25
5. Step 5: Solve for x
   x = 30,587,386,556.25/115,776
6. Step 6: Final answer
   x = 264,194.54