Finding the Third Proportional to 83,510 and 147,181

Step by Step Solution

1. Step 1: Write the proportion equation
   83,510 : 147,181 = 147,181 : x
2. Step 2: Convert to fraction form
   83,510/147,181 = 147,181/x
3. Step 3: Cross multiply
   83,510x = 147,181 × 147,181
4. Step 4: Simplify right side
   83,510x = 21,662,246,761
5. Step 5: Solve for x
   x = 21,662,246,761/83,510
6. Step 6: Final answer
   x = 259,397.04