Finding the Third Proportional to 103,996 and 152,094

Step by Step Solution

1. Step 1: Write the proportion equation
   103,996 : 152,094 = 152,094 : x
2. Step 2: Convert to fraction form
   103,996/152,094 = 152,094/x
3. Step 3: Cross multiply
   103,996x = 152,094 × 152,094
4. Step 4: Simplify right side
   103,996x = 23,132,584,836
5. Step 5: Solve for x
   x = 23,132,584,836/103,996
6. Step 6: Final answer
   x = 222,437.26