Finding the Third Proportional to 35,181 and 77,199

Step by Step Solution

1. Step 1: Write the proportion equation
   35,181 : 77,199 = 77,199 : x
2. Step 2: Convert to fraction form
   35,181/77,199 = 77,199/x
3. Step 3: Cross multiply
   35,181x = 77,199 × 77,199
4. Step 4: Simplify right side
   35,181x = 5,959,685,601
5. Step 5: Solve for x
   x = 5,959,685,601/35,181
6. Step 6: Final answer
   x = 169,400.69