Finding the Third Proportional to 78,599 and 169,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,599 : 169,704.50 = 169,704.50 : x
2. Step 2: Convert to fraction form
   78,599/169,704.50 = 169,704.50/x
3. Step 3: Cross multiply
   78,599x = 169,704.50 × 169,704.50
4. Step 4: Simplify right side
   78,599x = 28,799,617,320.25
5. Step 5: Solve for x
   x = 28,799,617,320.25/78,599
6. Step 6: Final answer
   x = 366,412.01