Finding the Third Proportional to 78,819 and 118,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,819 : 118,306.50 = 118,306.50 : x
2. Step 2: Convert to fraction form
   78,819/118,306.50 = 118,306.50/x
3. Step 3: Cross multiply
   78,819x = 118,306.50 × 118,306.50
4. Step 4: Simplify right side
   78,819x = 13,996,427,942.25
5. Step 5: Solve for x
   x = 13,996,427,942.25/78,819
6. Step 6: Final answer
   x = 177,576.83