Finding the Third Proportional to 74,857 and 113,061

Step by Step Solution

1. Step 1: Write the proportion equation
   74,857 : 113,061 = 113,061 : x
2. Step 2: Convert to fraction form
   74,857/113,061 = 113,061/x
3. Step 3: Cross multiply
   74,857x = 113,061 × 113,061
4. Step 4: Simplify right side
   74,857x = 12,782,789,721
5. Step 5: Solve for x
   x = 12,782,789,721/74,857
6. Step 6: Final answer
   x = 170,762.78