Finding the Third Proportional to 83,566.50 and 137,181

Step by Step Solution

1. Step 1: Write the proportion equation
   83,566.50 : 137,181 = 137,181 : x
2. Step 2: Convert to fraction form
   83,566.50/137,181 = 137,181/x
3. Step 3: Cross multiply
   83,566.50x = 137,181 × 137,181
4. Step 4: Simplify right side
   83,566.50x = 18,818,626,761
5. Step 5: Solve for x
   x = 18,818,626,761/83,566.50
6. Step 6: Final answer
   x = 225,193.43