Finding the Third Proportional to 76,311 and 116,734.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,311 : 116,734.50 = 116,734.50 : x
2. Step 2: Convert to fraction form
   76,311/116,734.50 = 116,734.50/x
3. Step 3: Cross multiply
   76,311x = 116,734.50 × 116,734.50
4. Step 4: Simplify right side
   76,311x = 13,626,943,490.25
5. Step 5: Solve for x
   x = 13,626,943,490.25/76,311
6. Step 6: Final answer
   x = 178,571.16