Finding the Third Proportional to 89,465 and 194,708

Step by Step Solution

1. Step 1: Write the proportion equation
   89,465 : 194,708 = 194,708 : x
2. Step 2: Convert to fraction form
   89,465/194,708 = 194,708/x
3. Step 3: Cross multiply
   89,465x = 194,708 × 194,708
4. Step 4: Simplify right side
   89,465x = 37,911,205,264
5. Step 5: Solve for x
   x = 37,911,205,264/89,465
6. Step 6: Final answer
   x = 423,754.60