Finding the Third Proportional to 70,826 and 152,558

Step by Step Solution

1. Step 1: Write the proportion equation
   70,826 : 152,558 = 152,558 : x
2. Step 2: Convert to fraction form
   70,826/152,558 = 152,558/x
3. Step 3: Cross multiply
   70,826x = 152,558 × 152,558
4. Step 4: Simplify right side
   70,826x = 23,273,943,364
5. Step 5: Solve for x
   x = 23,273,943,364/70,826
6. Step 6: Final answer
   x = 328,607.34