Finding the Third Proportional to 172,177.31 and 365,196.94

Step by Step Solution

1. Step 1: Write the proportion equation
   172,177.31 : 365,196.94 = 365,196.94 : x
2. Step 2: Convert to fraction form
   172,177.31/365,196.94 = 365,196.94/x
3. Step 3: Cross multiply
   172,177.31x = 365,196.94 × 365,196.94
4. Step 4: Simplify right side
   172,177.31x = 133,368,803,159.38
5. Step 5: Solve for x
   x = 133,368,803,159.38/172,177.31
6. Step 6: Final answer
   x = 774,601.49