Finding the Third Proportional to 85,392 and 185,550

Step by Step Solution

1. Step 1: Write the proportion equation
   85,392 : 185,550 = 185,550 : x
2. Step 2: Convert to fraction form
   85,392/185,550 = 185,550/x
3. Step 3: Cross multiply
   85,392x = 185,550 × 185,550
4. Step 4: Simplify right side
   85,392x = 34,428,802,500
5. Step 5: Solve for x
   x = 34,428,802,500/85,392
6. Step 6: Final answer
   x = 403,185.34