Finding the Third Proportional to 103,688 and 152,218

Step by Step Solution

1. Step 1: Write the proportion equation
   103,688 : 152,218 = 152,218 : x
2. Step 2: Convert to fraction form
   103,688/152,218 = 152,218/x
3. Step 3: Cross multiply
   103,688x = 152,218 × 152,218
4. Step 4: Simplify right side
   103,688x = 23,170,319,524
5. Step 5: Solve for x
   x = 23,170,319,524/103,688
6. Step 6: Final answer
   x = 223,461.92