Finding the Third Proportional to 116,638 and 174,925

Step by Step Solution

1. Step 1: Write the proportion equation
   116,638 : 174,925 = 174,925 : x
2. Step 2: Convert to fraction form
   116,638/174,925 = 174,925/x
3. Step 3: Cross multiply
   116,638x = 174,925 × 174,925
4. Step 4: Simplify right side
   116,638x = 30,598,755,625
5. Step 5: Solve for x
   x = 30,598,755,625/116,638
6. Step 6: Final answer
   x = 262,339.51