Finding the Third Proportional to 117,776 and 175,064

Step by Step Solution

1. Step 1: Write the proportion equation
   117,776 : 175,064 = 175,064 : x
2. Step 2: Convert to fraction form
   117,776/175,064 = 175,064/x
3. Step 3: Cross multiply
   117,776x = 175,064 × 175,064
4. Step 4: Simplify right side
   117,776x = 30,647,404,096
5. Step 5: Solve for x
   x = 30,647,404,096/117,776
6. Step 6: Final answer
   x = 260,217.74