Finding the Third Proportional to 96,754 and 146,590

Step by Step Solution

1. Step 1: Write the proportion equation
   96,754 : 146,590 = 146,590 : x
2. Step 2: Convert to fraction form
   96,754/146,590 = 146,590/x
3. Step 3: Cross multiply
   96,754x = 146,590 × 146,590
4. Step 4: Simplify right side
   96,754x = 21,488,628,100
5. Step 5: Solve for x
   x = 21,488,628,100/96,754
6. Step 6: Final answer
   x = 222,095.50