Finding the Third Proportional to 51,833 and 109,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,833 : 109,200.50 = 109,200.50 : x
2. Step 2: Convert to fraction form
   51,833/109,200.50 = 109,200.50/x
3. Step 3: Cross multiply
   51,833x = 109,200.50 × 109,200.50
4. Step 4: Simplify right side
   51,833x = 11,924,749,200.25
5. Step 5: Solve for x
   x = 11,924,749,200.25/51,833
6. Step 6: Final answer
   x = 230,060.95