Finding the Third Proportional to 85,212 and 184,528

Step by Step Solution

1. Step 1: Write the proportion equation
   85,212 : 184,528 = 184,528 : x
2. Step 2: Convert to fraction form
   85,212/184,528 = 184,528/x
3. Step 3: Cross multiply
   85,212x = 184,528 × 184,528
4. Step 4: Simplify right side
   85,212x = 34,050,582,784
5. Step 5: Solve for x
   x = 34,050,582,784/85,212
6. Step 6: Final answer
   x = 399,598.45