Finding the Third Proportional to 86,616 and 186,124.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,616 : 186,124.50 = 186,124.50 : x
2. Step 2: Convert to fraction form
   86,616/186,124.50 = 186,124.50/x
3. Step 3: Cross multiply
   86,616x = 186,124.50 × 186,124.50
4. Step 4: Simplify right side
   86,616x = 34,642,329,500.25
5. Step 5: Solve for x
   x = 34,642,329,500.25/86,616
6. Step 6: Final answer
   x = 399,953.01