Finding the Third Proportional to 78,515 and 174,444.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,515 : 174,444.50 = 174,444.50 : x
2. Step 2: Convert to fraction form
   78,515/174,444.50 = 174,444.50/x
3. Step 3: Cross multiply
   78,515x = 174,444.50 × 174,444.50
4. Step 4: Simplify right side
   78,515x = 30,430,883,580.25
5. Step 5: Solve for x
   x = 30,430,883,580.25/78,515
6. Step 6: Final answer
   x = 387,580.51