Finding the Third Proportional to 94,258 and 205,102

Step by Step Solution

1. Step 1: Write the proportion equation
   94,258 : 205,102 = 205,102 : x
2. Step 2: Convert to fraction form
   94,258/205,102 = 205,102/x
3. Step 3: Cross multiply
   94,258x = 205,102 × 205,102
4. Step 4: Simplify right side
   94,258x = 42,066,830,404
5. Step 5: Solve for x
   x = 42,066,830,404/94,258
6. Step 6: Final answer
   x = 446,294.54