Finding the Third Proportional to 78,021 and 117,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,021 : 117,580.50 = 117,580.50 : x
2. Step 2: Convert to fraction form
   78,021/117,580.50 = 117,580.50/x
3. Step 3: Cross multiply
   78,021x = 117,580.50 × 117,580.50
4. Step 4: Simplify right side
   78,021x = 13,825,173,980.25
5. Step 5: Solve for x
   x = 13,825,173,980.25/78,021
6. Step 6: Final answer
   x = 177,198.11