Finding the Third Proportional to 64,620 and 141,970

Step by Step Solution

1. Step 1: Write the proportion equation
   64,620 : 141,970 = 141,970 : x
2. Step 2: Convert to fraction form
   64,620/141,970 = 141,970/x
3. Step 3: Cross multiply
   64,620x = 141,970 × 141,970
4. Step 4: Simplify right side
   64,620x = 20,155,480,900
5. Step 5: Solve for x
   x = 20,155,480,900/64,620
6. Step 6: Final answer
   x = 311,907.78