Finding the Third Proportional to 76,314.50 and 116,749

Step by Step Solution

1. Step 1: Write the proportion equation
   76,314.50 : 116,749 = 116,749 : x
2. Step 2: Convert to fraction form
   76,314.50/116,749 = 116,749/x
3. Step 3: Cross multiply
   76,314.50x = 116,749 × 116,749
4. Step 4: Simplify right side
   76,314.50x = 13,630,329,001
5. Step 5: Solve for x
   x = 13,630,329,001/76,314.50
6. Step 6: Final answer
   x = 178,607.33