Finding the Third Proportional to 86,595 and 186,130.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,595 : 186,130.50 = 186,130.50 : x
2. Step 2: Convert to fraction form
   86,595/186,130.50 = 186,130.50/x
3. Step 3: Cross multiply
   86,595x = 186,130.50 × 186,130.50
4. Step 4: Simplify right side
   86,595x = 34,644,563,030.25
5. Step 5: Solve for x
   x = 34,644,563,030.25/86,595
6. Step 6: Final answer
   x = 400,075.79