Finding the Third Proportional to 78,470 and 171,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,470 : 171,510.50 = 171,510.50 : x
2. Step 2: Convert to fraction form
   78,470/171,510.50 = 171,510.50/x
3. Step 3: Cross multiply
   78,470x = 171,510.50 × 171,510.50
4. Step 4: Simplify right side
   78,470x = 29,415,851,610.25
5. Step 5: Solve for x
   x = 29,415,851,610.25/78,470
6. Step 6: Final answer
   x = 374,867.49