Finding the Third Proportional to 94,322 and 206,140

Step by Step Solution

1. Step 1: Write the proportion equation
   94,322 : 206,140 = 206,140 : x
2. Step 2: Convert to fraction form
   94,322/206,140 = 206,140/x
3. Step 3: Cross multiply
   94,322x = 206,140 × 206,140
4. Step 4: Simplify right side
   94,322x = 42,493,699,600
5. Step 5: Solve for x
   x = 42,493,699,600/94,322
6. Step 6: Final answer
   x = 450,517.37