Finding the Third Proportional to 123,892.50 and 262,274.25

Step by Step Solution

1. Step 1: Write the proportion equation
   123,892.50 : 262,274.25 = 262,274.25 : x
2. Step 2: Convert to fraction form
   123,892.50/262,274.25 = 262,274.25/x
3. Step 3: Cross multiply
   123,892.50x = 262,274.25 × 262,274.25
4. Step 4: Simplify right side
   123,892.50x = 68,787,782,213.06
5. Step 5: Solve for x
   x = 68,787,782,213.06/123,892.50
6. Step 6: Final answer
   x = 555,221.52