Finding the Third Proportional to 70,644 and 102,156

Step by Step Solution

1. Step 1: Write the proportion equation
   70,644 : 102,156 = 102,156 : x
2. Step 2: Convert to fraction form
   70,644/102,156 = 102,156/x
3. Step 3: Cross multiply
   70,644x = 102,156 × 102,156
4. Step 4: Simplify right side
   70,644x = 10,435,848,336
5. Step 5: Solve for x
   x = 10,435,848,336/70,644
6. Step 6: Final answer
   x = 147,724.48