Finding the Third Proportional to 57,882 and 122,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   57,882 : 122,869.50 = 122,869.50 : x
2. Step 2: Convert to fraction form
   57,882/122,869.50 = 122,869.50/x
3. Step 3: Cross multiply
   57,882x = 122,869.50 × 122,869.50
4. Step 4: Simplify right side
   57,882x = 15,096,914,030.25
5. Step 5: Solve for x
   x = 15,096,914,030.25/57,882
6. Step 6: Final answer
   x = 260,822.26