Finding the Third Proportional to 64,980 and 141,704

Step by Step Solution

1. Step 1: Write the proportion equation
   64,980 : 141,704 = 141,704 : x
2. Step 2: Convert to fraction form
   64,980/141,704 = 141,704/x
3. Step 3: Cross multiply
   64,980x = 141,704 × 141,704
4. Step 4: Simplify right side
   64,980x = 20,080,023,616
5. Step 5: Solve for x
   x = 20,080,023,616/64,980
6. Step 6: Final answer
   x = 309,018.52