Finding the Third Proportional to 114,402 and 175,008

Step by Step Solution

1. Step 1: Write the proportion equation
   114,402 : 175,008 = 175,008 : x
2. Step 2: Convert to fraction form
   114,402/175,008 = 175,008/x
3. Step 3: Cross multiply
   114,402x = 175,008 × 175,008
4. Step 4: Simplify right side
   114,402x = 30,627,800,064
5. Step 5: Solve for x
   x = 30,627,800,064/114,402
6. Step 6: Final answer
   x = 267,720.84