Finding the Third Proportional to 51,006 and 108,073.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,006 : 108,073.50 = 108,073.50 : x
2. Step 2: Convert to fraction form
   51,006/108,073.50 = 108,073.50/x
3. Step 3: Cross multiply
   51,006x = 108,073.50 × 108,073.50
4. Step 4: Simplify right side
   51,006x = 11,679,881,402.25
5. Step 5: Solve for x
   x = 11,679,881,402.25/51,006
6. Step 6: Final answer
   x = 228,990.34