Finding the Third Proportional to 81,196 and 121,384

Step by Step Solution

1. Step 1: Write the proportion equation
   81,196 : 121,384 = 121,384 : x
2. Step 2: Convert to fraction form
   81,196/121,384 = 121,384/x
3. Step 3: Cross multiply
   81,196x = 121,384 × 121,384
4. Step 4: Simplify right side
   81,196x = 14,734,075,456
5. Step 5: Solve for x
   x = 14,734,075,456/81,196
6. Step 6: Final answer
   x = 181,463.07