Finding the Third Proportional to 66,591 and 141,656

Step by Step Solution

1. Step 1: Write the proportion equation
   66,591 : 141,656 = 141,656 : x
2. Step 2: Convert to fraction form
   66,591/141,656 = 141,656/x
3. Step 3: Cross multiply
   66,591x = 141,656 × 141,656
4. Step 4: Simplify right side
   66,591x = 20,066,422,336
5. Step 5: Solve for x
   x = 20,066,422,336/66,591
6. Step 6: Final answer
   x = 301,338.35