Finding the Third Proportional to 53,523 and 82,300.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,523 : 82,300.50 = 82,300.50 : x
2. Step 2: Convert to fraction form
   53,523/82,300.50 = 82,300.50/x
3. Step 3: Cross multiply
   53,523x = 82,300.50 × 82,300.50
4. Step 4: Simplify right side
   53,523x = 6,773,372,300.25
5. Step 5: Solve for x
   x = 6,773,372,300.25/53,523
6. Step 6: Final answer
   x = 126,550.68