Finding the Third Proportional to 89,594 and 188,382

Step by Step Solution

1. Step 1: Write the proportion equation
   89,594 : 188,382 = 188,382 : x
2. Step 2: Convert to fraction form
   89,594/188,382 = 188,382/x
3. Step 3: Cross multiply
   89,594x = 188,382 × 188,382
4. Step 4: Simplify right side
   89,594x = 35,487,777,924
5. Step 5: Solve for x
   x = 35,487,777,924/89,594
6. Step 6: Final answer
   x = 396,095.47