Finding the Third Proportional to 165,688 and 262,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   165,688 : 262,774.50 = 262,774.50 : x
2. Step 2: Convert to fraction form
   165,688/262,774.50 = 262,774.50/x
3. Step 3: Cross multiply
   165,688x = 262,774.50 × 262,774.50
4. Step 4: Simplify right side
   165,688x = 69,050,437,850.25
5. Step 5: Solve for x
   x = 69,050,437,850.25/165,688
6. Step 6: Final answer
   x = 416,749.78