Finding the Third Proportional to 77,679 and 131,179.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,679 : 131,179.50 = 131,179.50 : x
2. Step 2: Convert to fraction form
   77,679/131,179.50 = 131,179.50/x
3. Step 3: Cross multiply
   77,679x = 131,179.50 × 131,179.50
4. Step 4: Simplify right side
   77,679x = 17,208,061,220.25
5. Step 5: Solve for x
   x = 17,208,061,220.25/77,679
6. Step 6: Final answer
   x = 221,527.84