Finding the Third Proportional to 112,314 and 164,078

Step by Step Solution

1. Step 1: Write the proportion equation
   112,314 : 164,078 = 164,078 : x
2. Step 2: Convert to fraction form
   112,314/164,078 = 164,078/x
3. Step 3: Cross multiply
   112,314x = 164,078 × 164,078
4. Step 4: Simplify right side
   112,314x = 26,921,590,084
5. Step 5: Solve for x
   x = 26,921,590,084/112,314
6. Step 6: Final answer
   x = 239,699.33