Finding the Third Proportional to 265,186 and 401,632

Step by Step Solution

1. Step 1: Write the proportion equation
   265,186 : 401,632 = 401,632 : x
2. Step 2: Convert to fraction form
   265,186/401,632 = 401,632/x
3. Step 3: Cross multiply
   265,186x = 401,632 × 401,632
4. Step 4: Simplify right side
   265,186x = 161,308,263,424
5. Step 5: Solve for x
   x = 161,308,263,424/265,186
6. Step 6: Final answer
   x = 608,283.48