Finding the Third Proportional to 83,862 and 134,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,862 : 134,662.50 = 134,662.50 : x
2. Step 2: Convert to fraction form
   83,862/134,662.50 = 134,662.50/x
3. Step 3: Cross multiply
   83,862x = 134,662.50 × 134,662.50
4. Step 4: Simplify right side
   83,862x = 18,133,988,906.25
5. Step 5: Solve for x
   x = 18,133,988,906.25/83,862
6. Step 6: Final answer
   x = 216,236.07