Finding the Third Proportional to 117,368 and 175,602

Step by Step Solution

1. Step 1: Write the proportion equation
   117,368 : 175,602 = 175,602 : x
2. Step 2: Convert to fraction form
   117,368/175,602 = 175,602/x
3. Step 3: Cross multiply
   117,368x = 175,602 × 175,602
4. Step 4: Simplify right side
   117,368x = 30,836,062,404
5. Step 5: Solve for x
   x = 30,836,062,404/117,368
6. Step 6: Final answer
   x = 262,729.73