Finding the Third Proportional to 100,258 and 222,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,258 : 222,931.50 = 222,931.50 : x
2. Step 2: Convert to fraction form
   100,258/222,931.50 = 222,931.50/x
3. Step 3: Cross multiply
   100,258x = 222,931.50 × 222,931.50
4. Step 4: Simplify right side
   100,258x = 49,698,453,692.25
5. Step 5: Solve for x
   x = 49,698,453,692.25/100,258
6. Step 6: Final answer
   x = 495,705.62