Finding the Third Proportional to 102,970 and 188,852

Step by Step Solution

1. Step 1: Write the proportion equation
   102,970 : 188,852 = 188,852 : x
2. Step 2: Convert to fraction form
   102,970/188,852 = 188,852/x
3. Step 3: Cross multiply
   102,970x = 188,852 × 188,852
4. Step 4: Simplify right side
   102,970x = 35,665,077,904
5. Step 5: Solve for x
   x = 35,665,077,904/102,970
6. Step 6: Final answer
   x = 346,363.77