Finding the Third Proportional to 78,474 and 169,999.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,474 : 169,999.50 = 169,999.50 : x
2. Step 2: Convert to fraction form
   78,474/169,999.50 = 169,999.50/x
3. Step 3: Cross multiply
   78,474x = 169,999.50 × 169,999.50
4. Step 4: Simplify right side
   78,474x = 28,899,830,000.25
5. Step 5: Solve for x
   x = 28,899,830,000.25/78,474
6. Step 6: Final answer
   x = 368,272.68