Finding the Third Proportional to 78,900 and 169,828.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,900 : 169,828.50 = 169,828.50 : x
2. Step 2: Convert to fraction form
   78,900/169,828.50 = 169,828.50/x
3. Step 3: Cross multiply
   78,900x = 169,828.50 × 169,828.50
4. Step 4: Simplify right side
   78,900x = 28,841,719,412.25
5. Step 5: Solve for x
   x = 28,841,719,412.25/78,900
6. Step 6: Final answer
   x = 365,547.77