Finding the Third Proportional to 265,101.50 and 401,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   265,101.50 : 401,513.50 = 401,513.50 : x
2. Step 2: Convert to fraction form
   265,101.50/401,513.50 = 401,513.50/x
3. Step 3: Cross multiply
   265,101.50x = 401,513.50 × 401,513.50
4. Step 4: Simplify right side
   265,101.50x = 161,213,090,682.25
5. Step 5: Solve for x
   x = 161,213,090,682.25/265,101.50
6. Step 6: Final answer
   x = 608,118.36