Finding the Third Proportional to 105,660.50 and 154,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,660.50 : 154,697.50 = 154,697.50 : x
2. Step 2: Convert to fraction form
   105,660.50/154,697.50 = 154,697.50/x
3. Step 3: Cross multiply
   105,660.50x = 154,697.50 × 154,697.50
4. Step 4: Simplify right side
   105,660.50x = 23,931,316,506.25
5. Step 5: Solve for x
   x = 23,931,316,506.25/105,660.50
6. Step 6: Final answer
   x = 226,492.55