Finding the Third Proportional to 37,506.38 and 88,536.38

Step by Step Solution

1. Step 1: Write the proportion equation
   37,506.38 : 88,536.38 = 88,536.38 : x
2. Step 2: Convert to fraction form
   37,506.38/88,536.38 = 88,536.38/x
3. Step 3: Cross multiply
   37,506.38x = 88,536.38 × 88,536.38
4. Step 4: Simplify right side
   37,506.38x = 7,838,689,698.14
5. Step 5: Solve for x
   x = 7,838,689,698.14/37,506.38
6. Step 6: Final answer
   x = 208,996.20