Finding the Third Proportional to 78,807 and 118,291.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,807 : 118,291.50 = 118,291.50 : x
2. Step 2: Convert to fraction form
   78,807/118,291.50 = 118,291.50/x
3. Step 3: Cross multiply
   78,807x = 118,291.50 × 118,291.50
4. Step 4: Simplify right side
   78,807x = 13,992,878,972.25
5. Step 5: Solve for x
   x = 13,992,878,972.25/78,807
6. Step 6: Final answer
   x = 177,558.83