Finding the Third Proportional to 61,177 and 86,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,177 : 86,151.50 = 86,151.50 : x
2. Step 2: Convert to fraction form
   61,177/86,151.50 = 86,151.50/x
3. Step 3: Cross multiply
   61,177x = 86,151.50 × 86,151.50
4. Step 4: Simplify right side
   61,177x = 7,422,080,952.25
5. Step 5: Solve for x
   x = 7,422,080,952.25/61,177
6. Step 6: Final answer
   x = 121,321.43