Finding the Third Proportional to 103,672 and 152,194

Step by Step Solution

1. Step 1: Write the proportion equation
   103,672 : 152,194 = 152,194 : x
2. Step 2: Convert to fraction form
   103,672/152,194 = 152,194/x
3. Step 3: Cross multiply
   103,672x = 152,194 × 152,194
4. Step 4: Simplify right side
   103,672x = 23,163,013,636
5. Step 5: Solve for x
   x = 23,163,013,636/103,672
6. Step 6: Final answer
   x = 223,425.94