Finding the Third Proportional to 134,082 and 195,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   134,082 : 195,547.50 = 195,547.50 : x
2. Step 2: Convert to fraction form
   134,082/195,547.50 = 195,547.50/x
3. Step 3: Cross multiply
   134,082x = 195,547.50 × 195,547.50
4. Step 4: Simplify right side
   134,082x = 38,238,824,756.25
5. Step 5: Solve for x
   x = 38,238,824,756.25/134,082
6. Step 6: Final answer
   x = 285,189.84