Finding the Third Proportional to 74,493 and 175,719.38

Step by Step Solution

1. Step 1: Write the proportion equation
   74,493 : 175,719.38 = 175,719.38 : x
2. Step 2: Convert to fraction form
   74,493/175,719.38 = 175,719.38/x
3. Step 3: Cross multiply
   74,493x = 175,719.38 × 175,719.38
4. Step 4: Simplify right side
   74,493x = 30,877,298,750.39
5. Step 5: Solve for x
   x = 30,877,298,750.39/74,493
6. Step 6: Final answer
   x = 414,499.33