Finding the Third Proportional to 85,888.50 and 123,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,888.50 : 123,706.50 = 123,706.50 : x
2. Step 2: Convert to fraction form
   85,888.50/123,706.50 = 123,706.50/x
3. Step 3: Cross multiply
   85,888.50x = 123,706.50 × 123,706.50
4. Step 4: Simplify right side
   85,888.50x = 15,303,298,142.25
5. Step 5: Solve for x
   x = 15,303,298,142.25/85,888.50
6. Step 6: Final answer
   x = 178,176.33