Finding the Third Proportional to 123,155 and 264,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,155 : 264,727.50 = 264,727.50 : x
2. Step 2: Convert to fraction form
   123,155/264,727.50 = 264,727.50/x
3. Step 3: Cross multiply
   123,155x = 264,727.50 × 264,727.50
4. Step 4: Simplify right side
   123,155x = 70,080,649,256.25
5. Step 5: Solve for x
   x = 70,080,649,256.25/123,155
6. Step 6: Final answer
   x = 569,044.29