Finding the Third Proportional to 116,308 and 174,606

Step by Step Solution

1. Step 1: Write the proportion equation
   116,308 : 174,606 = 174,606 : x
2. Step 2: Convert to fraction form
   116,308/174,606 = 174,606/x
3. Step 3: Cross multiply
   116,308x = 174,606 × 174,606
4. Step 4: Simplify right side
   116,308x = 30,487,255,236
5. Step 5: Solve for x
   x = 30,487,255,236/116,308
6. Step 6: Final answer
   x = 262,125.18