Finding the Third Proportional to 78,948 and 118,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,948 : 118,048.50 = 118,048.50 : x
2. Step 2: Convert to fraction form
   78,948/118,048.50 = 118,048.50/x
3. Step 3: Cross multiply
   78,948x = 118,048.50 × 118,048.50
4. Step 4: Simplify right side
   78,948x = 13,935,448,352.25
5. Step 5: Solve for x
   x = 13,935,448,352.25/78,948
6. Step 6: Final answer
   x = 176,514.27