Finding the Third Proportional to 101,367 and 152,052

Step by Step Solution

1. Step 1: Write the proportion equation
   101,367 : 152,052 = 152,052 : x
2. Step 2: Convert to fraction form
   101,367/152,052 = 152,052/x
3. Step 3: Cross multiply
   101,367x = 152,052 × 152,052
4. Step 4: Simplify right side
   101,367x = 23,119,810,704
5. Step 5: Solve for x
   x = 23,119,810,704/101,367
6. Step 6: Final answer
   x = 228,080.25