Finding the Third Proportional to 76,695 and 117,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,695 : 117,838.50 = 117,838.50 : x
2. Step 2: Convert to fraction form
   76,695/117,838.50 = 117,838.50/x
3. Step 3: Cross multiply
   76,695x = 117,838.50 × 117,838.50
4. Step 4: Simplify right side
   76,695x = 13,885,912,082.25
5. Step 5: Solve for x
   x = 13,885,912,082.25/76,695
6. Step 6: Final answer
   x = 181,053.68