Finding the Third Proportional to 65,082 and 98,176.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,082 : 98,176.50 = 98,176.50 : x
2. Step 2: Convert to fraction form
   65,082/98,176.50 = 98,176.50/x
3. Step 3: Cross multiply
   65,082x = 98,176.50 × 98,176.50
4. Step 4: Simplify right side
   65,082x = 9,638,625,152.25
5. Step 5: Solve for x
   x = 9,638,625,152.25/65,082
6. Step 6: Final answer
   x = 148,099.71