Finding the Third Proportional to 50,897 and 76,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,897 : 76,903.50 = 76,903.50 : x
2. Step 2: Convert to fraction form
   50,897/76,903.50 = 76,903.50/x
3. Step 3: Cross multiply
   50,897x = 76,903.50 × 76,903.50
4. Step 4: Simplify right side
   50,897x = 5,914,148,312.25
5. Step 5: Solve for x
   x = 5,914,148,312.25/50,897
6. Step 6: Final answer
   x = 116,198.37