Finding the Third Proportional to 78,459.50 and 174,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,459.50 : 174,354.50 = 174,354.50 : x
2. Step 2: Convert to fraction form
   78,459.50/174,354.50 = 174,354.50/x
3. Step 3: Cross multiply
   78,459.50x = 174,354.50 × 174,354.50
4. Step 4: Simplify right side
   78,459.50x = 30,399,491,670.25
5. Step 5: Solve for x
   x = 30,399,491,670.25/78,459.50
6. Step 6: Final answer
   x = 387,454.57