Finding the Third Proportional to 83,435.34 and 172,784.53

Step by Step Solution

1. Step 1: Write the proportion equation
   83,435.34 : 172,784.53 = 172,784.53 : x
2. Step 2: Convert to fraction form
   83,435.34/172,784.53 = 172,784.53/x
3. Step 3: Cross multiply
   83,435.34x = 172,784.53 × 172,784.53
4. Step 4: Simplify right side
   83,435.34x = 29,854,494,239.28
5. Step 5: Solve for x
   x = 29,854,494,239.28/83,435.34
6. Step 6: Final answer
   x = 357,815.92