Finding the Third Proportional to 78,750 and 174,834

Step by Step Solution

1. Step 1: Write the proportion equation
   78,750 : 174,834 = 174,834 : x
2. Step 2: Convert to fraction form
   78,750/174,834 = 174,834/x
3. Step 3: Cross multiply
   78,750x = 174,834 × 174,834
4. Step 4: Simplify right side
   78,750x = 30,566,927,556
5. Step 5: Solve for x
   x = 30,566,927,556/78,750
6. Step 6: Final answer
   x = 388,151.46