Finding the Third Proportional to 81,686 and 124,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,686 : 124,931.50 = 124,931.50 : x
2. Step 2: Convert to fraction form
   81,686/124,931.50 = 124,931.50/x
3. Step 3: Cross multiply
   81,686x = 124,931.50 × 124,931.50
4. Step 4: Simplify right side
   81,686x = 15,607,879,692.25
5. Step 5: Solve for x
   x = 15,607,879,692.25/81,686
6. Step 6: Final answer
   x = 191,071.66