Finding the Third Proportional to 85,224 and 185,320

Step by Step Solution

1. Step 1: Write the proportion equation
   85,224 : 185,320 = 185,320 : x
2. Step 2: Convert to fraction form
   85,224/185,320 = 185,320/x
3. Step 3: Cross multiply
   85,224x = 185,320 × 185,320
4. Step 4: Simplify right side
   85,224x = 34,343,502,400
5. Step 5: Solve for x
   x = 34,343,502,400/85,224
6. Step 6: Final answer
   x = 402,979.24