Finding the Third Proportional to 85,051 and 186,262

Step by Step Solution

1. Step 1: Write the proportion equation
   85,051 : 186,262 = 186,262 : x
2. Step 2: Convert to fraction form
   85,051/186,262 = 186,262/x
3. Step 3: Cross multiply
   85,051x = 186,262 × 186,262
4. Step 4: Simplify right side
   85,051x = 34,693,532,644
5. Step 5: Solve for x
   x = 34,693,532,644/85,051
6. Step 6: Final answer
   x = 407,914.46