Finding the Third Proportional to 102,134 and 147,105

Step by Step Solution

1. Step 1: Write the proportion equation
   102,134 : 147,105 = 147,105 : x
2. Step 2: Convert to fraction form
   102,134/147,105 = 147,105/x
3. Step 3: Cross multiply
   102,134x = 147,105 × 147,105
4. Step 4: Simplify right side
   102,134x = 21,639,881,025
5. Step 5: Solve for x
   x = 21,639,881,025/102,134
6. Step 6: Final answer
   x = 211,877.35