Finding the Third Proportional to 76,690.50 and 157,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,690.50 : 157,099.50 = 157,099.50 : x
2. Step 2: Convert to fraction form
   76,690.50/157,099.50 = 157,099.50/x
3. Step 3: Cross multiply
   76,690.50x = 157,099.50 × 157,099.50
4. Step 4: Simplify right side
   76,690.50x = 24,680,252,900.25
5. Step 5: Solve for x
   x = 24,680,252,900.25/76,690.50
6. Step 6: Final answer
   x = 321,816.30