Finding the Third Proportional to 99,682 and 148,659

Step by Step Solution

1. Step 1: Write the proportion equation
   99,682 : 148,659 = 148,659 : x
2. Step 2: Convert to fraction form
   99,682/148,659 = 148,659/x
3. Step 3: Cross multiply
   99,682x = 148,659 × 148,659
4. Step 4: Simplify right side
   99,682x = 22,099,498,281
5. Step 5: Solve for x
   x = 22,099,498,281/99,682
6. Step 6: Final answer
   x = 221,699.99