Finding the Third Proportional to 113,842 and 164,468

Step by Step Solution

1. Step 1: Write the proportion equation
   113,842 : 164,468 = 164,468 : x
2. Step 2: Convert to fraction form
   113,842/164,468 = 164,468/x
3. Step 3: Cross multiply
   113,842x = 164,468 × 164,468
4. Step 4: Simplify right side
   113,842x = 27,049,723,024
5. Step 5: Solve for x
   x = 27,049,723,024/113,842
6. Step 6: Final answer
   x = 237,607.59