Finding the Third Proportional to 109,664 and 148,602

Step by Step Solution

1. Step 1: Write the proportion equation
   109,664 : 148,602 = 148,602 : x
2. Step 2: Convert to fraction form
   109,664/148,602 = 148,602/x
3. Step 3: Cross multiply
   109,664x = 148,602 × 148,602
4. Step 4: Simplify right side
   109,664x = 22,082,554,404
5. Step 5: Solve for x
   x = 22,082,554,404/109,664
6. Step 6: Final answer
   x = 201,365.57