Finding the Third Proportional to 208,142 and 297,429

Step by Step Solution

1. Step 1: Write the proportion equation
   208,142 : 297,429 = 297,429 : x
2. Step 2: Convert to fraction form
   208,142/297,429 = 297,429/x
3. Step 3: Cross multiply
   208,142x = 297,429 × 297,429
4. Step 4: Simplify right side
   208,142x = 88,464,010,041
5. Step 5: Solve for x
   x = 88,464,010,041/208,142
6. Step 6: Final answer
   x = 425,017.58