Finding the Third Proportional to 52,226 and 123,263

Step by Step Solution

1. Step 1: Write the proportion equation
   52,226 : 123,263 = 123,263 : x
2. Step 2: Convert to fraction form
   52,226/123,263 = 123,263/x
3. Step 3: Cross multiply
   52,226x = 123,263 × 123,263
4. Step 4: Simplify right side
   52,226x = 15,193,767,169
5. Step 5: Solve for x
   x = 15,193,767,169/52,226
6. Step 6: Final answer
   x = 290,923.43