Finding the Third Proportional to 83,772 and 182,607.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,772 : 182,607.75 = 182,607.75 : x
2. Step 2: Convert to fraction form
   83,772/182,607.75 = 182,607.75/x
3. Step 3: Cross multiply
   83,772x = 182,607.75 × 182,607.75
4. Step 4: Simplify right side
   83,772x = 33,345,590,360.06
5. Step 5: Solve for x
   x = 33,345,590,360.06/83,772
6. Step 6: Final answer
   x = 398,051.74