Finding the Third Proportional to 138,264 and 208,662

Step by Step Solution

1. Step 1: Write the proportion equation
   138,264 : 208,662 = 208,662 : x
2. Step 2: Convert to fraction form
   138,264/208,662 = 208,662/x
3. Step 3: Cross multiply
   138,264x = 208,662 × 208,662
4. Step 4: Simplify right side
   138,264x = 43,539,830,244
5. Step 5: Solve for x
   x = 43,539,830,244/138,264
6. Step 6: Final answer
   x = 314,903.59