Finding the Third Proportional to 35,188 and 73,278

Step by Step Solution

1. Step 1: Write the proportion equation
   35,188 : 73,278 = 73,278 : x
2. Step 2: Convert to fraction form
   35,188/73,278 = 73,278/x
3. Step 3: Cross multiply
   35,188x = 73,278 × 73,278
4. Step 4: Simplify right side
   35,188x = 5,369,665,284
5. Step 5: Solve for x
   x = 5,369,665,284/35,188
6. Step 6: Final answer
   x = 152,599.33