Finding the Third Proportional to 101,434 and 152,170

Step by Step Solution

1. Step 1: Write the proportion equation
   101,434 : 152,170 = 152,170 : x
2. Step 2: Convert to fraction form
   101,434/152,170 = 152,170/x
3. Step 3: Cross multiply
   101,434x = 152,170 × 152,170
4. Step 4: Simplify right side
   101,434x = 23,155,708,900
5. Step 5: Solve for x
   x = 23,155,708,900/101,434
6. Step 6: Final answer
   x = 228,283.50