Finding the Third Proportional to 76,188.50 and 116,216.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,188.50 : 116,216.50 = 116,216.50 : x
2. Step 2: Convert to fraction form
   76,188.50/116,216.50 = 116,216.50/x
3. Step 3: Cross multiply
   76,188.50x = 116,216.50 × 116,216.50
4. Step 4: Simplify right side
   76,188.50x = 13,506,274,872.25
5. Step 5: Solve for x
   x = 13,506,274,872.25/76,188.50
6. Step 6: Final answer
   x = 177,274.46