Finding the Third Proportional to 113,506 and 265,109

Step by Step Solution

1. Step 1: Write the proportion equation
   113,506 : 265,109 = 265,109 : x
2. Step 2: Convert to fraction form
   113,506/265,109 = 265,109/x
3. Step 3: Cross multiply
   113,506x = 265,109 × 265,109
4. Step 4: Simplify right side
   113,506x = 70,282,781,881
5. Step 5: Solve for x
   x = 70,282,781,881/113,506
6. Step 6: Final answer
   x = 619,198.83