Finding the Third Proportional to 109,664 and 148,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,664 : 148,601.50 = 148,601.50 : x
2. Step 2: Convert to fraction form
   109,664/148,601.50 = 148,601.50/x
3. Step 3: Cross multiply
   109,664x = 148,601.50 × 148,601.50
4. Step 4: Simplify right side
   109,664x = 22,082,405,802.25
5. Step 5: Solve for x
   x = 22,082,405,802.25/109,664
6. Step 6: Final answer
   x = 201,364.22