Finding the Third Proportional to 88,260 and 208,172

Step by Step Solution

1. Step 1: Write the proportion equation
   88,260 : 208,172 = 208,172 : x
2. Step 2: Convert to fraction form
   88,260/208,172 = 208,172/x
3. Step 3: Cross multiply
   88,260x = 208,172 × 208,172
4. Step 4: Simplify right side
   88,260x = 43,335,581,584
5. Step 5: Solve for x
   x = 43,335,581,584/88,260
6. Step 6: Final answer
   x = 490,999.11