Finding the Third Proportional to 38,199.50 and 85,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,199.50 : 85,146.50 = 85,146.50 : x
2. Step 2: Convert to fraction form
   38,199.50/85,146.50 = 85,146.50/x
3. Step 3: Cross multiply
   38,199.50x = 85,146.50 × 85,146.50
4. Step 4: Simplify right side
   38,199.50x = 7,249,926,462.25
5. Step 5: Solve for x
   x = 7,249,926,462.25/38,199.50
6. Step 6: Final answer
   x = 189,791.14