Finding the Third Proportional to 114,047 and 164,280

Step by Step Solution

1. Step 1: Write the proportion equation
   114,047 : 164,280 = 164,280 : x
2. Step 2: Convert to fraction form
   114,047/164,280 = 164,280/x
3. Step 3: Cross multiply
   114,047x = 164,280 × 164,280
4. Step 4: Simplify right side
   114,047x = 26,987,918,400
5. Step 5: Solve for x
   x = 26,987,918,400/114,047
6. Step 6: Final answer
   x = 236,638.56