Finding the Third Proportional to 88,258 and 208,174

Step by Step Solution

1. Step 1: Write the proportion equation
   88,258 : 208,174 = 208,174 : x
2. Step 2: Convert to fraction form
   88,258/208,174 = 208,174/x
3. Step 3: Cross multiply
   88,258x = 208,174 × 208,174
4. Step 4: Simplify right side
   88,258x = 43,336,414,276
5. Step 5: Solve for x
   x = 43,336,414,276/88,258
6. Step 6: Final answer
   x = 491,019.67