Finding the Third Proportional to 138,024 and 297,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,024 : 297,823.50 = 297,823.50 : x
2. Step 2: Convert to fraction form
   138,024/297,823.50 = 297,823.50/x
3. Step 3: Cross multiply
   138,024x = 297,823.50 × 297,823.50
4. Step 4: Simplify right side
   138,024x = 88,698,837,152.25
5. Step 5: Solve for x
   x = 88,698,837,152.25/138,024
6. Step 6: Final answer
   x = 642,633.43