Finding the Third Proportional to 103,772 and 152,214

Step by Step Solution

1. Step 1: Write the proportion equation
   103,772 : 152,214 = 152,214 : x
2. Step 2: Convert to fraction form
   103,772/152,214 = 152,214/x
3. Step 3: Cross multiply
   103,772x = 152,214 × 152,214
4. Step 4: Simplify right side
   103,772x = 23,169,101,796
5. Step 5: Solve for x
   x = 23,169,101,796/103,772
6. Step 6: Final answer
   x = 223,269.30