Finding the Third Proportional to 77,764.50 and 182,099.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,764.50 : 182,099.25 = 182,099.25 : x
2. Step 2: Convert to fraction form
   77,764.50/182,099.25 = 182,099.25/x
3. Step 3: Cross multiply
   77,764.50x = 182,099.25 × 182,099.25
4. Step 4: Simplify right side
   77,764.50x = 33,160,136,850.56
5. Step 5: Solve for x
   x = 33,160,136,850.56/77,764.50
6. Step 6: Final answer
   x = 426,417.41