Finding the Third Proportional to 75,109.50 and 174,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,109.50 : 174,649.50 = 174,649.50 : x
2. Step 2: Convert to fraction form
   75,109.50/174,649.50 = 174,649.50/x
3. Step 3: Cross multiply
   75,109.50x = 174,649.50 × 174,649.50
4. Step 4: Simplify right side
   75,109.50x = 30,502,447,850.25
5. Step 5: Solve for x
   x = 30,502,447,850.25/75,109.50
6. Step 6: Final answer
   x = 406,106.39