Finding the Third Proportional to 91,503 and 146,097

Step by Step Solution

1. Step 1: Write the proportion equation
   91,503 : 146,097 = 146,097 : x
2. Step 2: Convert to fraction form
   91,503/146,097 = 146,097/x
3. Step 3: Cross multiply
   91,503x = 146,097 × 146,097
4. Step 4: Simplify right side
   91,503x = 21,344,333,409
5. Step 5: Solve for x
   x = 21,344,333,409/91,503
6. Step 6: Final answer
   x = 233,263.76