Finding the Third Proportional to 61,176 and 86,149.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,176 : 86,149.50 = 86,149.50 : x
2. Step 2: Convert to fraction form
   61,176/86,149.50 = 86,149.50/x
3. Step 3: Cross multiply
   61,176x = 86,149.50 × 86,149.50
4. Step 4: Simplify right side
   61,176x = 7,421,736,350.25
5. Step 5: Solve for x
   x = 7,421,736,350.25/61,176
6. Step 6: Final answer
   x = 121,317.78