Finding the Third Proportional to 137,835 and 297,678

Step by Step Solution

1. Step 1: Write the proportion equation
   137,835 : 297,678 = 297,678 : x
2. Step 2: Convert to fraction form
   137,835/297,678 = 297,678/x
3. Step 3: Cross multiply
   137,835x = 297,678 × 297,678
4. Step 4: Simplify right side
   137,835x = 88,612,191,684
5. Step 5: Solve for x
   x = 88,612,191,684/137,835
6. Step 6: Final answer
   x = 642,886.00