Finding the Third Proportional to 78,785 and 118,234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,785 : 118,234.50 = 118,234.50 : x
2. Step 2: Convert to fraction form
   78,785/118,234.50 = 118,234.50/x
3. Step 3: Cross multiply
   78,785x = 118,234.50 × 118,234.50
4. Step 4: Simplify right side
   78,785x = 13,979,396,990.25
5. Step 5: Solve for x
   x = 13,979,396,990.25/78,785
6. Step 6: Final answer
   x = 177,437.29