Finding the Third Proportional to 523,888 and 1,116,468

Step by Step Solution

1. Step 1: Write the proportion equation
   523,888 : 1,116,468 = 1,116,468 : x
2. Step 2: Convert to fraction form
   523,888/1,116,468 = 1,116,468/x
3. Step 3: Cross multiply
   523,888x = 1,116,468 × 1,116,468
4. Step 4: Simplify right side
   523,888x = 1,246,500,795,024
5. Step 5: Solve for x
   x = 1,246,500,795,024/523,888
6. Step 6: Final answer
   x = 2,379,326.87