Finding the Third Proportional to 101,448 and 152,172

Step by Step Solution

1. Step 1: Write the proportion equation
   101,448 : 152,172 = 152,172 : x
2. Step 2: Convert to fraction form
   101,448/152,172 = 152,172/x
3. Step 3: Cross multiply
   101,448x = 152,172 × 152,172
4. Step 4: Simplify right side
   101,448x = 23,156,317,584
5. Step 5: Solve for x
   x = 23,156,317,584/101,448
6. Step 6: Final answer
   x = 228,258