Finding the Third Proportional to 39,518 and 86,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,518 : 86,412.50 = 86,412.50 : x
2. Step 2: Convert to fraction form
   39,518/86,412.50 = 86,412.50/x
3. Step 3: Cross multiply
   39,518x = 86,412.50 × 86,412.50
4. Step 4: Simplify right side
   39,518x = 7,467,120,156.25
5. Step 5: Solve for x
   x = 7,467,120,156.25/39,518
6. Step 6: Final answer
   x = 188,954.91