Finding the Third Proportional to 97,664 and 146,500

Step by Step Solution

1. Step 1: Write the proportion equation
   97,664 : 146,500 = 146,500 : x
2. Step 2: Convert to fraction form
   97,664/146,500 = 146,500/x
3. Step 3: Cross multiply
   97,664x = 146,500 × 146,500
4. Step 4: Simplify right side
   97,664x = 21,462,250,000
5. Step 5: Solve for x
   x = 21,462,250,000/97,664
6. Step 6: Final answer
   x = 219,756.00