Finding the Third Proportional to 52,071 and 107,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,071 : 107,834.50 = 107,834.50 : x
2. Step 2: Convert to fraction form
   52,071/107,834.50 = 107,834.50/x
3. Step 3: Cross multiply
   52,071x = 107,834.50 × 107,834.50
4. Step 4: Simplify right side
   52,071x = 11,628,279,390.25
5. Step 5: Solve for x
   x = 11,628,279,390.25/52,071
6. Step 6: Final answer
   x = 223,315.85