Finding the Third Proportional to 121,600 and 265,123

Step by Step Solution

1. Step 1: Write the proportion equation
   121,600 : 265,123 = 265,123 : x
2. Step 2: Convert to fraction form
   121,600/265,123 = 265,123/x
3. Step 3: Cross multiply
   121,600x = 265,123 × 265,123
4. Step 4: Simplify right side
   121,600x = 70,290,205,129
5. Step 5: Solve for x
   x = 70,290,205,129/121,600
6. Step 6: Final answer
   x = 578,044.45