Finding the Third Proportional to 47,774.25 and 103,333.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,774.25 : 103,333.50 = 103,333.50 : x
2. Step 2: Convert to fraction form
   47,774.25/103,333.50 = 103,333.50/x
3. Step 3: Cross multiply
   47,774.25x = 103,333.50 × 103,333.50
4. Step 4: Simplify right side
   47,774.25x = 10,677,812,222.25
5. Step 5: Solve for x
   x = 10,677,812,222.25/47,774.25
6. Step 6: Final answer
   x = 223,505.60