Finding the Third Proportional to 103,691 and 152,134

Step by Step Solution

1. Step 1: Write the proportion equation
   103,691 : 152,134 = 152,134 : x
2. Step 2: Convert to fraction form
   103,691/152,134 = 152,134/x
3. Step 3: Cross multiply
   103,691x = 152,134 × 152,134
4. Step 4: Simplify right side
   103,691x = 23,144,753,956
5. Step 5: Solve for x
   x = 23,144,753,956/103,691
6. Step 6: Final answer
   x = 223,208.90