Finding the Third Proportional to 99,666 and 158,490

Step by Step Solution

1. Step 1: Write the proportion equation
   99,666 : 158,490 = 158,490 : x
2. Step 2: Convert to fraction form
   99,666/158,490 = 158,490/x
3. Step 3: Cross multiply
   99,666x = 158,490 × 158,490
4. Step 4: Simplify right side
   99,666x = 25,119,080,100
5. Step 5: Solve for x
   x = 25,119,080,100/99,666
6. Step 6: Final answer
   x = 252,032.59