Finding the Third Proportional to 86,603 and 186,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,603 : 186,098.50 = 186,098.50 : x
2. Step 2: Convert to fraction form
   86,603/186,098.50 = 186,098.50/x
3. Step 3: Cross multiply
   86,603x = 186,098.50 × 186,098.50
4. Step 4: Simplify right side
   86,603x = 34,632,651,702.25
5. Step 5: Solve for x
   x = 34,632,651,702.25/86,603
6. Step 6: Final answer
   x = 399,901.29