Finding the Third Proportional to 81,770 and 119,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,770 : 119,962.50 = 119,962.50 : x
2. Step 2: Convert to fraction form
   81,770/119,962.50 = 119,962.50/x
3. Step 3: Cross multiply
   81,770x = 119,962.50 × 119,962.50
4. Step 4: Simplify right side
   81,770x = 14,391,001,406.25
5. Step 5: Solve for x
   x = 14,391,001,406.25/81,770
6. Step 6: Final answer
   x = 175,993.66