Finding the Third Proportional to 78,470 and 174,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,470 : 174,375.50 = 174,375.50 : x
2. Step 2: Convert to fraction form
   78,470/174,375.50 = 174,375.50/x
3. Step 3: Cross multiply
   78,470x = 174,375.50 × 174,375.50
4. Step 4: Simplify right side
   78,470x = 30,406,815,000.25
5. Step 5: Solve for x
   x = 30,406,815,000.25/78,470
6. Step 6: Final answer
   x = 387,496.05