Finding the Third Proportional to 96,614 and 145,650

Step by Step Solution

1. Step 1: Write the proportion equation
   96,614 : 145,650 = 145,650 : x
2. Step 2: Convert to fraction form
   96,614/145,650 = 145,650/x
3. Step 3: Cross multiply
   96,614x = 145,650 × 145,650
4. Step 4: Simplify right side
   96,614x = 21,213,922,500
5. Step 5: Solve for x
   x = 21,213,922,500/96,614
6. Step 6: Final answer
   x = 219,574.00