Finding the Third Proportional to 50,430 and 78,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,430 : 78,082.50 = 78,082.50 : x
2. Step 2: Convert to fraction form
   50,430/78,082.50 = 78,082.50/x
3. Step 3: Cross multiply
   50,430x = 78,082.50 × 78,082.50
4. Step 4: Simplify right side
   50,430x = 6,096,876,806.25
5. Step 5: Solve for x
   x = 6,096,876,806.25/50,430
6. Step 6: Final answer
   x = 120,897.81