Finding the Third Proportional to 47,428.50 and 109,802.75

Step by Step Solution

1. Step 1: Write the proportion equation
   47,428.50 : 109,802.75 = 109,802.75 : x
2. Step 2: Convert to fraction form
   47,428.50/109,802.75 = 109,802.75/x
3. Step 3: Cross multiply
   47,428.50x = 109,802.75 × 109,802.75
4. Step 4: Simplify right side
   47,428.50x = 12,056,643,907.56
5. Step 5: Solve for x
   x = 12,056,643,907.56/47,428.50
6. Step 6: Final answer
   x = 254,206.73