Finding the Third Proportional to 78,814 and 117,934

Step by Step Solution

1. Step 1: Write the proportion equation
   78,814 : 117,934 = 117,934 : x
2. Step 2: Convert to fraction form
   78,814/117,934 = 117,934/x
3. Step 3: Cross multiply
   78,814x = 117,934 × 117,934
4. Step 4: Simplify right side
   78,814x = 13,908,428,356
5. Step 5: Solve for x
   x = 13,908,428,356/78,814
6. Step 6: Final answer
   x = 176,471.55