Finding the Third Proportional to 99,524 and 154,094

Step by Step Solution

1. Step 1: Write the proportion equation
   99,524 : 154,094 = 154,094 : x
2. Step 2: Convert to fraction form
   99,524/154,094 = 154,094/x
3. Step 3: Cross multiply
   99,524x = 154,094 × 154,094
4. Step 4: Simplify right side
   99,524x = 23,744,960,836
5. Step 5: Solve for x
   x = 23,744,960,836/99,524
6. Step 6: Final answer
   x = 238,585.27