Finding the Third Proportional to 121,730 and 262,900

Step by Step Solution

1. Step 1: Write the proportion equation
   121,730 : 262,900 = 262,900 : x
2. Step 2: Convert to fraction form
   121,730/262,900 = 262,900/x
3. Step 3: Cross multiply
   121,730x = 262,900 × 262,900
4. Step 4: Simplify right side
   121,730x = 69,116,410,000
5. Step 5: Solve for x
   x = 69,116,410,000/121,730
6. Step 6: Final answer
   x = 567,784.52