Finding the Third Proportional to 78,466 and 169,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,466 : 169,967.50 = 169,967.50 : x
2. Step 2: Convert to fraction form
   78,466/169,967.50 = 169,967.50/x
3. Step 3: Cross multiply
   78,466x = 169,967.50 × 169,967.50
4. Step 4: Simplify right side
   78,466x = 28,888,951,056.25
5. Step 5: Solve for x
   x = 28,888,951,056.25/78,466
6. Step 6: Final answer
   x = 368,171.58