Finding the Third Proportional to 114,538 and 164,967

Step by Step Solution

1. Step 1: Write the proportion equation
   114,538 : 164,967 = 164,967 : x
2. Step 2: Convert to fraction form
   114,538/164,967 = 164,967/x
3. Step 3: Cross multiply
   114,538x = 164,967 × 164,967
4. Step 4: Simplify right side
   114,538x = 27,214,111,089
5. Step 5: Solve for x
   x = 27,214,111,089/114,538
6. Step 6: Final answer
   x = 237,598.97