Finding the Third Proportional to 100,901 and 152,120

Step by Step Solution

1. Step 1: Write the proportion equation
   100,901 : 152,120 = 152,120 : x
2. Step 2: Convert to fraction form
   100,901/152,120 = 152,120/x
3. Step 3: Cross multiply
   100,901x = 152,120 × 152,120
4. Step 4: Simplify right side
   100,901x = 23,140,494,400
5. Step 5: Solve for x
   x = 23,140,494,400/100,901
6. Step 6: Final answer
   x = 229,338.60