Finding the Third Proportional to 83,457.84 and 185,573.53

Step by Step Solution

1. Step 1: Write the proportion equation
   83,457.84 : 185,573.53 = 185,573.53 : x
2. Step 2: Convert to fraction form
   83,457.84/185,573.53 = 185,573.53/x
3. Step 3: Cross multiply
   83,457.84x = 185,573.53 × 185,573.53
4. Step 4: Simplify right side
   83,457.84x = 34,437,535,500.59
5. Step 5: Solve for x
   x = 34,437,535,500.59/83,457.84
6. Step 6: Final answer
   x = 412,633.90