Finding the Third Proportional to 265,356 and 422,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   265,356 : 422,023.50 = 422,023.50 : x
2. Step 2: Convert to fraction form
   265,356/422,023.50 = 422,023.50/x
3. Step 3: Cross multiply
   265,356x = 422,023.50 × 422,023.50
4. Step 4: Simplify right side
   265,356x = 178,103,834,552.25
5. Step 5: Solve for x
   x = 178,103,834,552.25/265,356
6. Step 6: Final answer
   x = 671,188.27