Finding the Third Proportional to 78,795 and 118,273.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,795 : 118,273.50 = 118,273.50 : x
2. Step 2: Convert to fraction form
   78,795/118,273.50 = 118,273.50/x
3. Step 3: Cross multiply
   78,795x = 118,273.50 × 118,273.50
4. Step 4: Simplify right side
   78,795x = 13,988,620,802.25
5. Step 5: Solve for x
   x = 13,988,620,802.25/78,795
6. Step 6: Final answer
   x = 177,531.83