Finding the Third Proportional to 70,410 and 146,646

Step by Step Solution

1. Step 1: Write the proportion equation
   70,410 : 146,646 = 146,646 : x
2. Step 2: Convert to fraction form
   70,410/146,646 = 146,646/x
3. Step 3: Cross multiply
   70,410x = 146,646 × 146,646
4. Step 4: Simplify right side
   70,410x = 21,505,049,316
5. Step 5: Solve for x
   x = 21,505,049,316/70,410
6. Step 6: Final answer
   x = 305,426.07