Finding the Third Proportional to 103,738 and 152,340

Step by Step Solution

1. Step 1: Write the proportion equation
   103,738 : 152,340 = 152,340 : x
2. Step 2: Convert to fraction form
   103,738/152,340 = 152,340/x
3. Step 3: Cross multiply
   103,738x = 152,340 × 152,340
4. Step 4: Simplify right side
   103,738x = 23,207,475,600
5. Step 5: Solve for x
   x = 23,207,475,600/103,738
6. Step 6: Final answer
   x = 223,712.39