Finding the Third Proportional to 67,460 and 146,097

Step by Step Solution

1. Step 1: Write the proportion equation
   67,460 : 146,097 = 146,097 : x
2. Step 2: Convert to fraction form
   67,460/146,097 = 146,097/x
3. Step 3: Cross multiply
   67,460x = 146,097 × 146,097
4. Step 4: Simplify right side
   67,460x = 21,344,333,409
5. Step 5: Solve for x
   x = 21,344,333,409/67,460
6. Step 6: Final answer
   x = 316,399.84