Finding the Third Proportional to 75,034.69 and 177,123.38

Step by Step Solution

1. Step 1: Write the proportion equation
   75,034.69 : 177,123.38 = 177,123.38 : x
2. Step 2: Convert to fraction form
   75,034.69/177,123.38 = 177,123.38/x
3. Step 3: Cross multiply
   75,034.69x = 177,123.38 × 177,123.38
4. Step 4: Simplify right side
   75,034.69x = 31,372,689,971.39
5. Step 5: Solve for x
   x = 31,372,689,971.39/75,034.69
6. Step 6: Final answer
   x = 418,109.16