Finding the Third Proportional to 160,895 and 218,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   160,895 : 218,513.50 = 218,513.50 : x
2. Step 2: Convert to fraction form
   160,895/218,513.50 = 218,513.50/x
3. Step 3: Cross multiply
   160,895x = 218,513.50 × 218,513.50
4. Step 4: Simplify right side
   160,895x = 47,748,149,682.25
5. Step 5: Solve for x
   x = 47,748,149,682.25/160,895
6. Step 6: Final answer
   x = 296,765.90