Finding the Third Proportional to 86,602 and 186,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   86,602 : 186,096.25 = 186,096.25 : x
2. Step 2: Convert to fraction form
   86,602/186,096.25 = 186,096.25/x
3. Step 3: Cross multiply
   86,602x = 186,096.25 × 186,096.25
4. Step 4: Simplify right side
   86,602x = 34,631,814,264.06
5. Step 5: Solve for x
   x = 34,631,814,264.06/86,602
6. Step 6: Final answer
   x = 399,896.24