Finding the Third Proportional to 78,780 and 118,228.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,780 : 118,228.50 = 118,228.50 : x
2. Step 2: Convert to fraction form
   78,780/118,228.50 = 118,228.50/x
3. Step 3: Cross multiply
   78,780x = 118,228.50 × 118,228.50
4. Step 4: Simplify right side
   78,780x = 13,977,978,212.25
5. Step 5: Solve for x
   x = 13,977,978,212.25/78,780
6. Step 6: Final answer
   x = 177,430.54