Finding the Third Proportional to 75,171 and 174,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,171 : 174,799.50 = 174,799.50 : x
2. Step 2: Convert to fraction form
   75,171/174,799.50 = 174,799.50/x
3. Step 3: Cross multiply
   75,171x = 174,799.50 × 174,799.50
4. Step 4: Simplify right side
   75,171x = 30,554,865,200.25
5. Step 5: Solve for x
   x = 30,554,865,200.25/75,171
6. Step 6: Final answer
   x = 406,471.45