Finding the Third Proportional to 83,779.31 and 182,619.56

Step by Step Solution

1. Step 1: Write the proportion equation
   83,779.31 : 182,619.56 = 182,619.56 : x
2. Step 2: Convert to fraction form
   83,779.31/182,619.56 = 182,619.56/x
3. Step 3: Cross multiply
   83,779.31x = 182,619.56 × 182,619.56
4. Step 4: Simplify right side
   83,779.31x = 33,349,904,607.69
5. Step 5: Solve for x
   x = 33,349,904,607.69/83,779.31
6. Step 6: Final answer
   x = 398,068.49