Finding the Third Proportional to 70,488 and 164,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,488 : 164,477.50 = 164,477.50 : x
2. Step 2: Convert to fraction form
   70,488/164,477.50 = 164,477.50/x
3. Step 3: Cross multiply
   70,488x = 164,477.50 × 164,477.50
4. Step 4: Simplify right side
   70,488x = 27,052,848,006.25
5. Step 5: Solve for x
   x = 27,052,848,006.25/70,488
6. Step 6: Final answer
   x = 383,793.67