Finding the Third Proportional to 78,000 and 114,074

Step by Step Solution

1. Step 1: Write the proportion equation
   78,000 : 114,074 = 114,074 : x
2. Step 2: Convert to fraction form
   78,000/114,074 = 114,074/x
3. Step 3: Cross multiply
   78,000x = 114,074 × 114,074
4. Step 4: Simplify right side
   78,000x = 13,012,877,476
5. Step 5: Solve for x
   x = 13,012,877,476/78,000
6. Step 6: Final answer
   x = 166,831.76