Finding the Third Proportional to 83,898 and 163,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,898 : 163,543.50 = 163,543.50 : x
2. Step 2: Convert to fraction form
   83,898/163,543.50 = 163,543.50/x
3. Step 3: Cross multiply
   83,898x = 163,543.50 × 163,543.50
4. Step 4: Simplify right side
   83,898x = 26,746,476,392.25
5. Step 5: Solve for x
   x = 26,746,476,392.25/83,898
6. Step 6: Final answer
   x = 318,797.54