Finding the Third Proportional to 35,298 and 77,248

Step by Step Solution

1. Step 1: Write the proportion equation
   35,298 : 77,248 = 77,248 : x
2. Step 2: Convert to fraction form
   35,298/77,248 = 77,248/x
3. Step 3: Cross multiply
   35,298x = 77,248 × 77,248
4. Step 4: Simplify right side
   35,298x = 5,967,253,504
5. Step 5: Solve for x
   x = 5,967,253,504/35,298
6. Step 6: Final answer
   x = 169,053.59