Finding the Third Proportional to 45,406.50 and 109,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,406.50 : 109,084.50 = 109,084.50 : x
2. Step 2: Convert to fraction form
   45,406.50/109,084.50 = 109,084.50/x
3. Step 3: Cross multiply
   45,406.50x = 109,084.50 × 109,084.50
4. Step 4: Simplify right side
   45,406.50x = 11,899,428,140.25
5. Step 5: Solve for x
   x = 11,899,428,140.25/45,406.50
6. Step 6: Final answer
   x = 262,064.42