Finding the Third Proportional to 53,416 and 86,817.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,416 : 86,817.50 = 86,817.50 : x
2. Step 2: Convert to fraction form
   53,416/86,817.50 = 86,817.50/x
3. Step 3: Cross multiply
   53,416x = 86,817.50 × 86,817.50
4. Step 4: Simplify right side
   53,416x = 7,537,278,306.25
5. Step 5: Solve for x
   x = 7,537,278,306.25/53,416
6. Step 6: Final answer
   x = 141,105.26