Finding the Third Proportional to 89,586 and 187,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   89,586 : 187,798.50 = 187,798.50 : x
2. Step 2: Convert to fraction form
   89,586/187,798.50 = 187,798.50/x
3. Step 3: Cross multiply
   89,586x = 187,798.50 × 187,798.50
4. Step 4: Simplify right side
   89,586x = 35,268,276,602.25
5. Step 5: Solve for x
   x = 35,268,276,602.25/89,586
6. Step 6: Final answer
   x = 393,680.67