Finding the Third Proportional to 83,372 and 182,555.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,372 : 182,555.50 = 182,555.50 : x
2. Step 2: Convert to fraction form
   83,372/182,555.50 = 182,555.50/x
3. Step 3: Cross multiply
   83,372x = 182,555.50 × 182,555.50
4. Step 4: Simplify right side
   83,372x = 33,326,510,580.25
5. Step 5: Solve for x
   x = 33,326,510,580.25/83,372
6. Step 6: Final answer
   x = 399,732.65