Finding the Third Proportional to 85,572 and 160,434

Step by Step Solution

1. Step 1: Write the proportion equation
   85,572 : 160,434 = 160,434 : x
2. Step 2: Convert to fraction form
   85,572/160,434 = 160,434/x
3. Step 3: Cross multiply
   85,572x = 160,434 × 160,434
4. Step 4: Simplify right side
   85,572x = 25,739,068,356
5. Step 5: Solve for x
   x = 25,739,068,356/85,572
6. Step 6: Final answer
   x = 300,788.44