Finding the Third Proportional to 37,764 and 88,200

Step by Step Solution

1. Step 1: Write the proportion equation
   37,764 : 88,200 = 88,200 : x
2. Step 2: Convert to fraction form
   37,764/88,200 = 88,200/x
3. Step 3: Cross multiply
   37,764x = 88,200 × 88,200
4. Step 4: Simplify right side
   37,764x = 7,779,240,000
5. Step 5: Solve for x
   x = 7,779,240,000/37,764
6. Step 6: Final answer
   x = 205,996.19