Finding the Third Proportional to 117,522 and 174,015

Step by Step Solution

1. Step 1: Write the proportion equation
   117,522 : 174,015 = 174,015 : x
2. Step 2: Convert to fraction form
   117,522/174,015 = 174,015/x
3. Step 3: Cross multiply
   117,522x = 174,015 × 174,015
4. Step 4: Simplify right side
   117,522x = 30,281,220,225
5. Step 5: Solve for x
   x = 30,281,220,225/117,522
6. Step 6: Final answer
   x = 257,664.27