Finding the Third Proportional to 125,832 and 266,238.75

Step by Step Solution

1. Step 1: Write the proportion equation
   125,832 : 266,238.75 = 266,238.75 : x
2. Step 2: Convert to fraction form
   125,832/266,238.75 = 266,238.75/x
3. Step 3: Cross multiply
   125,832x = 266,238.75 × 266,238.75
4. Step 4: Simplify right side
   125,832x = 70,883,072,001.56
5. Step 5: Solve for x
   x = 70,883,072,001.56/125,832
6. Step 6: Final answer
   x = 563,315.15