Finding the Third Proportional to 80,307 and 117,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,307 : 117,580.50 = 117,580.50 : x
2. Step 2: Convert to fraction form
   80,307/117,580.50 = 117,580.50/x
3. Step 3: Cross multiply
   80,307x = 117,580.50 × 117,580.50
4. Step 4: Simplify right side
   80,307x = 13,825,173,980.25
5. Step 5: Solve for x
   x = 13,825,173,980.25/80,307
6. Step 6: Final answer
   x = 172,154.03